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Finding the Fourth Proportional to 497.65, 742.83 and 461

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Solution

The fourth proportional to 497.65, 742.83 and 461 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.65 : 742.83 = 461 : x
  2. Step 2: Convert to fraction form
    497.65/742.83 = 461/x
  3. Step 3: Cross multiply
    497.65x = 742.83 × 461
  4. Step 4: Simplify right side
    497.65x = 342,444.63
  5. Step 5: Solve for x
    x = 342,444.63/497.65
  6. Step 6: Final answer
    x = 688.12

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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.