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Finding the Fourth Proportional to 497.40, 686.22 and 310.82

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Solution

The fourth proportional to 497.40, 686.22 and 310.82 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 686.22 = 310.82 : x
  2. Step 2: Convert to fraction form
    497.40/686.22 = 310.82/x
  3. Step 3: Cross multiply
    497.40x = 686.22 × 310.82
  4. Step 4: Simplify right side
    497.40x = 213,286.30
  5. Step 5: Solve for x
    x = 213,286.30/497.40
  6. Step 6: Final answer
    x = 428.81

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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.