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Finding the Fourth Proportional to 542.87, 813.13 and 311.65

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Solution

The fourth proportional to 542.87, 813.13 and 311.65 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.87 : 813.13 = 311.65 : x
  2. Step 2: Convert to fraction form
    542.87/813.13 = 311.65/x
  3. Step 3: Cross multiply
    542.87x = 813.13 × 311.65
  4. Step 4: Simplify right side
    542.87x = 253,411.96
  5. Step 5: Solve for x
    x = 253,411.96/542.87
  6. Step 6: Final answer
    x = 466.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.