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Finding the Fourth Proportional to 724.96, 1,000.00 and 640.66

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Solution

The fourth proportional to 724.96, 1,000.00 and 640.66 is: 883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.96 : 1,000.00 = 640.66 : x
  2. Step 2: Convert to fraction form
    724.96/1,000.00 = 640.66/x
  3. Step 3: Cross multiply
    724.96x = 1,000.00 × 640.66
  4. Step 4: Simplify right side
    724.96x = 640,660.32
  5. Step 5: Solve for x
    x = 640,660.32/724.96
  6. Step 6: Final answer
    x = 883.72

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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.