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Finding the Fourth Proportional to 834.68, 1,247.60 and 752.24

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Solution

The fourth proportional to 834.68, 1,247.60 and 752.24 is: 1,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,247.60 = 752.24 : x
  2. Step 2: Convert to fraction form
    834.68/1,247.60 = 752.24/x
  3. Step 3: Cross multiply
    834.68x = 1,247.60 × 752.24
  4. Step 4: Simplify right side
    834.68x = 938,494.62
  5. Step 5: Solve for x
    x = 938,494.62/834.68
  6. Step 6: Final answer
    x = 1,124.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.