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Finding the Fourth Proportional to 724.84, 1,086.78 and 340.12

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Solution

The fourth proportional to 724.84, 1,086.78 and 340.12 is: 509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.84 : 1,086.78 = 340.12 : x
  2. Step 2: Convert to fraction form
    724.84/1,086.78 = 340.12/x
  3. Step 3: Cross multiply
    724.84x = 1,086.78 × 340.12
  4. Step 4: Simplify right side
    724.84x = 369,635.61
  5. Step 5: Solve for x
    x = 369,635.61/724.84
  6. Step 6: Final answer
    x = 509.95

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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.