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Finding the Fourth Proportional to 834.40, 1,149.24 and 723.88

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Solution

The fourth proportional to 834.40, 1,149.24 and 723.88 is: 997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,149.24 = 723.88 : x
  2. Step 2: Convert to fraction form
    834.40/1,149.24 = 723.88/x
  3. Step 3: Cross multiply
    834.40x = 1,149.24 × 723.88
  4. Step 4: Simplify right side
    834.40x = 831,911.85
  5. Step 5: Solve for x
    x = 831,911.85/834.40
  6. Step 6: Final answer
    x = 997.02

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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.