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Finding the Fourth Proportional to 557.27, 769.12 and 463.87

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Solution

The fourth proportional to 557.27, 769.12 and 463.87 is: 640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.27 : 769.12 = 463.87 : x
  2. Step 2: Convert to fraction form
    557.27/769.12 = 463.87/x
  3. Step 3: Cross multiply
    557.27x = 769.12 × 463.87
  4. Step 4: Simplify right side
    557.27x = 356,768.61
  5. Step 5: Solve for x
    x = 356,768.61/557.27
  6. Step 6: Final answer
    x = 640.21

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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.