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Finding the Fourth Proportional to 979.92, 1,463.04 and 842.40

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Solution

The fourth proportional to 979.92, 1,463.04 and 842.40 is: 1,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.92 : 1,463.04 = 842.40 : x
  2. Step 2: Convert to fraction form
    979.92/1,463.04 = 842.40/x
  3. Step 3: Cross multiply
    979.92x = 1,463.04 × 842.40
  4. Step 4: Simplify right side
    979.92x = 1,232,464.90
  5. Step 5: Solve for x
    x = 1,232,464.90/979.92
  6. Step 6: Final answer
    x = 1,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.