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Finding the Fourth Proportional to 497.20, 686.10 and 310.60

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Solution

The fourth proportional to 497.20, 686.10 and 310.60 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.20 : 686.10 = 310.60 : x
  2. Step 2: Convert to fraction form
    497.20/686.10 = 310.60/x
  3. Step 3: Cross multiply
    497.20x = 686.10 × 310.60
  4. Step 4: Simplify right side
    497.20x = 213,102.66
  5. Step 5: Solve for x
    x = 213,102.66/497.20
  6. Step 6: Final answer
    x = 428.61

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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.