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Finding the Fourth Proportional to 463.83, 691.94 and 387.28

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Solution

The fourth proportional to 463.83, 691.94 and 387.28 is: 577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.83 : 691.94 = 387.28 : x
  2. Step 2: Convert to fraction form
    463.83/691.94 = 387.28/x
  3. Step 3: Cross multiply
    463.83x = 691.94 × 387.28
  4. Step 4: Simplify right side
    463.83x = 267,976.36
  5. Step 5: Solve for x
    x = 267,976.36/463.83
  6. Step 6: Final answer
    x = 577.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.