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Finding the Fourth Proportional to 967.11, 1,449.74 and 724.71

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Solution

The fourth proportional to 967.11, 1,449.74 and 724.71 is: 1,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.11 : 1,449.74 = 724.71 : x
  2. Step 2: Convert to fraction form
    967.11/1,449.74 = 724.71/x
  3. Step 3: Cross multiply
    967.11x = 1,449.74 × 724.71
  4. Step 4: Simplify right side
    967.11x = 1,050,637.45
  5. Step 5: Solve for x
    x = 1,050,637.45/967.11
  6. Step 6: Final answer
    x = 1,086.37

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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.