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Finding the Fourth Proportional to 497.18, 742.19 and 461.13

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Solution

The fourth proportional to 497.18, 742.19 and 461.13 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.18 : 742.19 = 461.13 : x
  2. Step 2: Convert to fraction form
    497.18/742.19 = 461.13/x
  3. Step 3: Cross multiply
    497.18x = 742.19 × 461.13
  4. Step 4: Simplify right side
    497.18x = 342,246.07
  5. Step 5: Solve for x
    x = 342,246.07/497.18
  6. Step 6: Final answer
    x = 688.37

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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.