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Finding the Fourth Proportional to 497.05, 686.25 and 310.80

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Solution

The fourth proportional to 497.05, 686.25 and 310.80 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.05 : 686.25 = 310.80 : x
  2. Step 2: Convert to fraction form
    497.05/686.25 = 310.80/x
  3. Step 3: Cross multiply
    497.05x = 686.25 × 310.80
  4. Step 4: Simplify right side
    497.05x = 213,286.50
  5. Step 5: Solve for x
    x = 213,286.50/497.05
  6. Step 6: Final answer
    x = 429.10

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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.