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Finding the Fourth Proportional to 862.40, 1,293.60 and 724.70

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Solution

The fourth proportional to 862.40, 1,293.60 and 724.70 is: 1,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.40 : 1,293.60 = 724.70 : x
  2. Step 2: Convert to fraction form
    862.40/1,293.60 = 724.70/x
  3. Step 3: Cross multiply
    862.40x = 1,293.60 × 724.70
  4. Step 4: Simplify right side
    862.40x = 937,471.92
  5. Step 5: Solve for x
    x = 937,471.92/862.40
  6. Step 6: Final answer
    x = 1,087.05

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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.