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Finding the Fourth Proportional to 497.08, 741.24 and 462.46

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Solution

The fourth proportional to 497.08, 741.24 and 462.46 is: 689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.08 : 741.24 = 462.46 : x
  2. Step 2: Convert to fraction form
    497.08/741.24 = 462.46/x
  3. Step 3: Cross multiply
    497.08x = 741.24 × 462.46
  4. Step 4: Simplify right side
    497.08x = 342,793.85
  5. Step 5: Solve for x
    x = 342,793.85/497.08
  6. Step 6: Final answer
    x = 689.62

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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.