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Finding the Fourth Proportional to 724.73, 1,086.84 and 313.61

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Solution

The fourth proportional to 724.73, 1,086.84 and 313.61 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.73 : 1,086.84 = 313.61 : x
  2. Step 2: Convert to fraction form
    724.73/1,086.84 = 313.61/x
  3. Step 3: Cross multiply
    724.73x = 1,086.84 × 313.61
  4. Step 4: Simplify right side
    724.73x = 340,838.46
  5. Step 5: Solve for x
    x = 340,838.46/724.73
  6. Step 6: Final answer
    x = 470.30

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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.