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Finding the Fourth Proportional to 731.64, 1,008 and 521.40

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Solution

The fourth proportional to 731.64, 1,008 and 521.40 is: 718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,008 = 521.40 : x
  2. Step 2: Convert to fraction form
    731.64/1,008 = 521.40/x
  3. Step 3: Cross multiply
    731.64x = 1,008 × 521.40
  4. Step 4: Simplify right side
    731.64x = 525,571.20
  5. Step 5: Solve for x
    x = 525,571.20/731.64
  6. Step 6: Final answer
    x = 718.35

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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.