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Finding the Fourth Proportional to 463.07, 691.52 and 439.38

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Solution

The fourth proportional to 463.07, 691.52 and 439.38 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.07 : 691.52 = 439.38 : x
  2. Step 2: Convert to fraction form
    463.07/691.52 = 439.38/x
  3. Step 3: Cross multiply
    463.07x = 691.52 × 439.38
  4. Step 4: Simplify right side
    463.07x = 303,837.86
  5. Step 5: Solve for x
    x = 303,837.86/463.07
  6. Step 6: Final answer
    x = 656.13

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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.