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Finding the Fourth Proportional to 979.86, 1,469.78 and 922.79

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Solution

The fourth proportional to 979.86, 1,469.78 and 922.79 is: 1,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.86 : 1,469.78 = 922.79 : x
  2. Step 2: Convert to fraction form
    979.86/1,469.78 = 922.79/x
  3. Step 3: Cross multiply
    979.86x = 1,469.78 × 922.79
  4. Step 4: Simplify right side
    979.86x = 1,356,286.32
  5. Step 5: Solve for x
    x = 1,356,286.32/979.86
  6. Step 6: Final answer
    x = 1,384.16

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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.