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Finding the Fourth Proportional to 652.71, 901.25 and 431.97

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Solution

The fourth proportional to 652.71, 901.25 and 431.97 is: 596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.71 : 901.25 = 431.97 : x
  2. Step 2: Convert to fraction form
    652.71/901.25 = 431.97/x
  3. Step 3: Cross multiply
    652.71x = 901.25 × 431.97
  4. Step 4: Simplify right side
    652.71x = 389,310.80
  5. Step 5: Solve for x
    x = 389,310.80/652.71
  6. Step 6: Final answer
    x = 596.45

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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.