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Finding the Fourth Proportional to 1,224.76, 1,690.44 and 871.20

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Solution

The fourth proportional to 1,224.76, 1,690.44 and 871.20 is: 1,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.76 : 1,690.44 = 871.20 : x
  2. Step 2: Convert to fraction form
    1,224.76/1,690.44 = 871.20/x
  3. Step 3: Cross multiply
    1,224.76x = 1,690.44 × 871.20
  4. Step 4: Simplify right side
    1,224.76x = 1,472,711.33
  5. Step 5: Solve for x
    x = 1,472,711.33/1,224.76
  6. Step 6: Final answer
    x = 1,202.45

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Find fourth proportional to 612.38, 845.22 and 435.60
Half scale
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Double scale
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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.