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Finding the Fourth Proportional to 502.43, 692.48 and 461.39

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Solution

The fourth proportional to 502.43, 692.48 and 461.39 is: 635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.43 : 692.48 = 461.39 : x
  2. Step 2: Convert to fraction form
    502.43/692.48 = 461.39/x
  3. Step 3: Cross multiply
    502.43x = 692.48 × 461.39
  4. Step 4: Simplify right side
    502.43x = 319,497.58
  5. Step 5: Solve for x
    x = 319,497.58/502.43
  6. Step 6: Final answer
    x = 635.91

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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.