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Finding the Fourth Proportional to 629.61, 868.76 and 363.95

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Solution

The fourth proportional to 629.61, 868.76 and 363.95 is: 502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.61 : 868.76 = 363.95 : x
  2. Step 2: Convert to fraction form
    629.61/868.76 = 363.95/x
  3. Step 3: Cross multiply
    629.61x = 868.76 × 363.95
  4. Step 4: Simplify right side
    629.61x = 316,188.28
  5. Step 5: Solve for x
    x = 316,188.28/629.61
  6. Step 6: Final answer
    x = 502.20

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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.