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Finding the Fourth Proportional to 1,311.68, 1,967.12 and 542

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Solution

The fourth proportional to 1,311.68, 1,967.12 and 542 is: 812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.68 : 1,967.12 = 542 : x
  2. Step 2: Convert to fraction form
    1,311.68/1,967.12 = 542/x
  3. Step 3: Cross multiply
    1,311.68x = 1,967.12 × 542
  4. Step 4: Simplify right side
    1,311.68x = 1,066,179.04
  5. Step 5: Solve for x
    x = 1,066,179.04/1,311.68
  6. Step 6: Final answer
    x = 812.83

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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.