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Finding the Fourth Proportional to 1,320.32, 1,979.92 and 498.12

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Solution

The fourth proportional to 1,320.32, 1,979.92 and 498.12 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.32 : 1,979.92 = 498.12 : x
  2. Step 2: Convert to fraction form
    1,320.32/1,979.92 = 498.12/x
  3. Step 3: Cross multiply
    1,320.32x = 1,979.92 × 498.12
  4. Step 4: Simplify right side
    1,320.32x = 986,237.75
  5. Step 5: Solve for x
    x = 986,237.75/1,320.32
  6. Step 6: Final answer
    x = 746.97

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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.