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Finding the Fourth Proportional to 979.20, 1,468.86 and 321.15

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Solution

The fourth proportional to 979.20, 1,468.86 and 321.15 is: 481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.20 : 1,468.86 = 321.15 : x
  2. Step 2: Convert to fraction form
    979.20/1,468.86 = 321.15/x
  3. Step 3: Cross multiply
    979.20x = 1,468.86 × 321.15
  4. Step 4: Simplify right side
    979.20x = 471,724.39
  5. Step 5: Solve for x
    x = 471,724.39/979.20
  6. Step 6: Final answer
    x = 481.74

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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.