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Finding the Fourth Proportional to 497.34, 741.63 and 462.71

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Solution

The fourth proportional to 497.34, 741.63 and 462.71 is: 689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 741.63 = 462.71 : x
  2. Step 2: Convert to fraction form
    497.34/741.63 = 462.71/x
  3. Step 3: Cross multiply
    497.34x = 741.63 × 462.71
  4. Step 4: Simplify right side
    497.34x = 343,155.91
  5. Step 5: Solve for x
    x = 343,155.91/497.34
  6. Step 6: Final answer
    x = 689.98

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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.