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Finding the Fourth Proportional to 979.68, 1,471.68 and 763.68

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Solution

The fourth proportional to 979.68, 1,471.68 and 763.68 is: 1,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.68 : 1,471.68 = 763.68 : x
  2. Step 2: Convert to fraction form
    979.68/1,471.68 = 763.68/x
  3. Step 3: Cross multiply
    979.68x = 1,471.68 × 763.68
  4. Step 4: Simplify right side
    979.68x = 1,123,892.58
  5. Step 5: Solve for x
    x = 1,123,892.58/979.68
  6. Step 6: Final answer
    x = 1,147.20

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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.