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Finding the Fourth Proportional to 724.87, 1,086.91 and 256.11

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Solution

The fourth proportional to 724.87, 1,086.91 and 256.11 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.87 : 1,086.91 = 256.11 : x
  2. Step 2: Convert to fraction form
    724.87/1,086.91 = 256.11/x
  3. Step 3: Cross multiply
    724.87x = 1,086.91 × 256.11
  4. Step 4: Simplify right side
    724.87x = 278,361.81
  5. Step 5: Solve for x
    x = 278,361.81/724.87
  6. Step 6: Final answer
    x = 384.02

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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.