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Finding the Fourth Proportional to 1,130.36, 1,559.70 and 664.76

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Solution

The fourth proportional to 1,130.36, 1,559.70 and 664.76 is: 917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.36 : 1,559.70 = 664.76 : x
  2. Step 2: Convert to fraction form
    1,130.36/1,559.70 = 664.76/x
  3. Step 3: Cross multiply
    1,130.36x = 1,559.70 × 664.76
  4. Step 4: Simplify right side
    1,130.36x = 1,036,826.17
  5. Step 5: Solve for x
    x = 1,036,826.17/1,130.36
  6. Step 6: Final answer
    x = 917.25

Related Problems

Find fourth proportional to 565.18, 779.85 and 332.38
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.