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Finding the Fourth Proportional to 986.96, 1,479.29 and 742.70

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Solution

The fourth proportional to 986.96, 1,479.29 and 742.70 is: 1,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,479.29 = 742.70 : x
  2. Step 2: Convert to fraction form
    986.96/1,479.29 = 742.70/x
  3. Step 3: Cross multiply
    986.96x = 1,479.29 × 742.70
  4. Step 4: Simplify right side
    986.96x = 1,098,668.68
  5. Step 5: Solve for x
    x = 1,098,668.68/986.96
  6. Step 6: Final answer
    x = 1,113.18

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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.