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Finding the Fourth Proportional to 629.91, 868.73 and 565.11

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Solution

The fourth proportional to 629.91, 868.73 and 565.11 is: 779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.91 : 868.73 = 565.11 : x
  2. Step 2: Convert to fraction form
    629.91/868.73 = 565.11/x
  3. Step 3: Cross multiply
    629.91x = 868.73 × 565.11
  4. Step 4: Simplify right side
    629.91x = 490,925.18
  5. Step 5: Solve for x
    x = 490,925.18/629.91
  6. Step 6: Final answer
    x = 779.36

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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.