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Finding the Fourth Proportional to 497.61, 686.52 and 311.13

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Solution

The fourth proportional to 497.61, 686.52 and 311.13 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.61 : 686.52 = 311.13 : x
  2. Step 2: Convert to fraction form
    497.61/686.52 = 311.13/x
  3. Step 3: Cross multiply
    497.61x = 686.52 × 311.13
  4. Step 4: Simplify right side
    497.61x = 213,596.97
  5. Step 5: Solve for x
    x = 213,596.97/497.61
  6. Step 6: Final answer
    x = 429.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.