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Finding the Fourth Proportional to 497.64, 742.84 and 461

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Solution

The fourth proportional to 497.64, 742.84 and 461 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 742.84 = 461 : x
  2. Step 2: Convert to fraction form
    497.64/742.84 = 461/x
  3. Step 3: Cross multiply
    497.64x = 742.84 × 461
  4. Step 4: Simplify right side
    497.64x = 342,449.24
  5. Step 5: Solve for x
    x = 342,449.24/497.64
  6. Step 6: Final answer
    x = 688.15

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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.