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Finding the Fourth Proportional to 497.82, 743.10 and 461.22

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Solution

The fourth proportional to 497.82, 743.10 and 461.22 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.82 : 743.10 = 461.22 : x
  2. Step 2: Convert to fraction form
    497.82/743.10 = 461.22/x
  3. Step 3: Cross multiply
    497.82x = 743.10 × 461.22
  4. Step 4: Simplify right side
    497.82x = 342,732.58
  5. Step 5: Solve for x
    x = 342,732.58/497.82
  6. Step 6: Final answer
    x = 688.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.