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Finding the Fourth Proportional to 487.73, 669.49 and 431.24

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Solution

The fourth proportional to 487.73, 669.49 and 431.24 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.73 : 669.49 = 431.24 : x
  2. Step 2: Convert to fraction form
    487.73/669.49 = 431.24/x
  3. Step 3: Cross multiply
    487.73x = 669.49 × 431.24
  4. Step 4: Simplify right side
    487.73x = 288,706.44
  5. Step 5: Solve for x
    x = 288,706.44/487.73
  6. Step 6: Final answer
    x = 591.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.