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Finding the Fourth Proportional to 1,362.24, 1,879.14 and 920.76

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Solution

The fourth proportional to 1,362.24, 1,879.14 and 920.76 is: 1,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.24 : 1,879.14 = 920.76 : x
  2. Step 2: Convert to fraction form
    1,362.24/1,879.14 = 920.76/x
  3. Step 3: Cross multiply
    1,362.24x = 1,879.14 × 920.76
  4. Step 4: Simplify right side
    1,362.24x = 1,730,236.95
  5. Step 5: Solve for x
    x = 1,730,236.95/1,362.24
  6. Step 6: Final answer
    x = 1,270.14

Related Problems

Find fourth proportional to 681.12, 939.57 and 460.38
Half scale
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Double scale
Find fourth proportional to 1,363.24, 1,880.52 and 921.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.