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Finding the Fourth Proportional to 834.91, 1,250.04 and 542.74

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Solution

The fourth proportional to 834.91, 1,250.04 and 542.74 is: 812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.91 : 1,250.04 = 542.74 : x
  2. Step 2: Convert to fraction form
    834.91/1,250.04 = 542.74/x
  3. Step 3: Cross multiply
    834.91x = 1,250.04 × 542.74
  4. Step 4: Simplify right side
    834.91x = 678,446.71
  5. Step 5: Solve for x
    x = 678,446.71/834.91
  6. Step 6: Final answer
    x = 812.60

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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.