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Finding the Fourth Proportional to 500.44, 689.59 and 387.73

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Solution

The fourth proportional to 500.44, 689.59 and 387.73 is: 534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.44 : 689.59 = 387.73 : x
  2. Step 2: Convert to fraction form
    500.44/689.59 = 387.73/x
  3. Step 3: Cross multiply
    500.44x = 689.59 × 387.73
  4. Step 4: Simplify right side
    500.44x = 267,374.73
  5. Step 5: Solve for x
    x = 267,374.73/500.44
  6. Step 6: Final answer
    x = 534.28

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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.