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Finding the Fourth Proportional to 629.52, 942.18 and 461.82

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Solution

The fourth proportional to 629.52, 942.18 and 461.82 is: 691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 942.18 = 461.82 : x
  2. Step 2: Convert to fraction form
    629.52/942.18 = 461.82/x
  3. Step 3: Cross multiply
    629.52x = 942.18 × 461.82
  4. Step 4: Simplify right side
    629.52x = 435,117.57
  5. Step 5: Solve for x
    x = 435,117.57/629.52
  6. Step 6: Final answer
    x = 691.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.