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Finding the Fourth Proportional to 497.67, 742.86 and 461.53

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Solution

The fourth proportional to 497.67, 742.86 and 461.53 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.67 : 742.86 = 461.53 : x
  2. Step 2: Convert to fraction form
    497.67/742.86 = 461.53/x
  3. Step 3: Cross multiply
    497.67x = 742.86 × 461.53
  4. Step 4: Simplify right side
    497.67x = 342,852.18
  5. Step 5: Solve for x
    x = 342,852.18/497.67
  6. Step 6: Final answer
    x = 688.91

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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.