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Finding the Fourth Proportional to 463.28, 691.54 and 429.02

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Solution

The fourth proportional to 463.28, 691.54 and 429.02 is: 640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 691.54 = 429.02 : x
  2. Step 2: Convert to fraction form
    463.28/691.54 = 429.02/x
  3. Step 3: Cross multiply
    463.28x = 691.54 × 429.02
  4. Step 4: Simplify right side
    463.28x = 296,684.49
  5. Step 5: Solve for x
    x = 296,684.49/463.28
  6. Step 6: Final answer
    x = 640.40

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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.