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Finding the Fourth Proportional to 629.67, 869.19 and 613.11

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Solution

The fourth proportional to 629.67, 869.19 and 613.11 is: 846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.67 : 869.19 = 613.11 : x
  2. Step 2: Convert to fraction form
    629.67/869.19 = 613.11/x
  3. Step 3: Cross multiply
    629.67x = 869.19 × 613.11
  4. Step 4: Simplify right side
    629.67x = 532,909.08
  5. Step 5: Solve for x
    x = 532,909.08/629.67
  6. Step 6: Final answer
    x = 846.33

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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.