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Finding the Fourth Proportional to 1,039.14, 1,432.89 and 724.77

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Solution

The fourth proportional to 1,039.14, 1,432.89 and 724.77 is: 999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.14 : 1,432.89 = 724.77 : x
  2. Step 2: Convert to fraction form
    1,039.14/1,432.89 = 724.77/x
  3. Step 3: Cross multiply
    1,039.14x = 1,432.89 × 724.77
  4. Step 4: Simplify right side
    1,039.14x = 1,038,515.69
  5. Step 5: Solve for x
    x = 1,038,515.69/1,039.14
  6. Step 6: Final answer
    x = 999.40

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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.