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Finding the Fourth Proportional to 629.20, 869.11 and 511.95

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Solution

The fourth proportional to 629.20, 869.11 and 511.95 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.20 : 869.11 = 511.95 : x
  2. Step 2: Convert to fraction form
    629.20/869.11 = 511.95/x
  3. Step 3: Cross multiply
    629.20x = 869.11 × 511.95
  4. Step 4: Simplify right side
    629.20x = 444,939.58
  5. Step 5: Solve for x
    x = 444,939.58/629.20
  6. Step 6: Final answer
    x = 707.15

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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.