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Finding the Fourth Proportional to 724.21, 1,086.72 and 723.40

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Solution

The fourth proportional to 724.21, 1,086.72 and 723.40 is: 1,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 1,086.72 = 723.40 : x
  2. Step 2: Convert to fraction form
    724.21/1,086.72 = 723.40/x
  3. Step 3: Cross multiply
    724.21x = 1,086.72 × 723.40
  4. Step 4: Simplify right side
    724.21x = 786,133.25
  5. Step 5: Solve for x
    x = 786,133.25/724.21
  6. Step 6: Final answer
    x = 1,085.50

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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.