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Finding the Fourth Proportional to 724.28, 1,084.59 and 686.00

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Solution

The fourth proportional to 724.28, 1,084.59 and 686.00 is: 1,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.28 : 1,084.59 = 686.00 : x
  2. Step 2: Convert to fraction form
    724.28/1,084.59 = 686.00/x
  3. Step 3: Cross multiply
    724.28x = 1,084.59 × 686.00
  4. Step 4: Simplify right side
    724.28x = 744,031.45
  5. Step 5: Solve for x
    x = 744,031.45/724.28
  6. Step 6: Final answer
    x = 1,027.28

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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.