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Finding the Fourth Proportional to 497.68, 742.94 and 461.63

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Solution

The fourth proportional to 497.68, 742.94 and 461.63 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 742.94 = 461.63 : x
  2. Step 2: Convert to fraction form
    497.68/742.94 = 461.63/x
  3. Step 3: Cross multiply
    497.68x = 742.94 × 461.63
  4. Step 4: Simplify right side
    497.68x = 342,961.08
  5. Step 5: Solve for x
    x = 342,961.08/497.68
  6. Step 6: Final answer
    x = 689.13

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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.