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Finding the Fourth Proportional to 629.78, 868.70 and 432.95

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Solution

The fourth proportional to 629.78, 868.70 and 432.95 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.78 : 868.70 = 432.95 : x
  2. Step 2: Convert to fraction form
    629.78/868.70 = 432.95/x
  3. Step 3: Cross multiply
    629.78x = 868.70 × 432.95
  4. Step 4: Simplify right side
    629.78x = 376,103.66
  5. Step 5: Solve for x
    x = 376,103.66/629.78
  6. Step 6: Final answer
    x = 597.20

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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.