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Finding the Fourth Proportional to 731.62, 1,097.57 and 471.50

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Solution

The fourth proportional to 731.62, 1,097.57 and 471.50 is: 707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.62 : 1,097.57 = 471.50 : x
  2. Step 2: Convert to fraction form
    731.62/1,097.57 = 471.50/x
  3. Step 3: Cross multiply
    731.62x = 1,097.57 × 471.50
  4. Step 4: Simplify right side
    731.62x = 517,504.26
  5. Step 5: Solve for x
    x = 517,504.26/731.62
  6. Step 6: Final answer
    x = 707.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.