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Finding the Fourth Proportional to 497.82, 686.91 and 311.34

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Solution

The fourth proportional to 497.82, 686.91 and 311.34 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.82 : 686.91 = 311.34 : x
  2. Step 2: Convert to fraction form
    497.82/686.91 = 311.34/x
  3. Step 3: Cross multiply
    497.82x = 686.91 × 311.34
  4. Step 4: Simplify right side
    497.82x = 213,862.56
  5. Step 5: Solve for x
    x = 213,862.56/497.82
  6. Step 6: Final answer
    x = 429.60

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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.