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Finding the Fourth Proportional to 724.76, 1,087.32 and 211.76

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Solution

The fourth proportional to 724.76, 1,087.32 and 211.76 is: 317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.76 : 1,087.32 = 211.76 : x
  2. Step 2: Convert to fraction form
    724.76/1,087.32 = 211.76/x
  3. Step 3: Cross multiply
    724.76x = 1,087.32 × 211.76
  4. Step 4: Simplify right side
    724.76x = 230,250.88
  5. Step 5: Solve for x
    x = 230,250.88/724.76
  6. Step 6: Final answer
    x = 317.69

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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.