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Finding the Fourth Proportional to 1,319.38, 1,979.07 and 497.43

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Solution

The fourth proportional to 1,319.38, 1,979.07 and 497.43 is: 746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.38 : 1,979.07 = 497.43 : x
  2. Step 2: Convert to fraction form
    1,319.38/1,979.07 = 497.43/x
  3. Step 3: Cross multiply
    1,319.38x = 1,979.07 × 497.43
  4. Step 4: Simplify right side
    1,319.38x = 984,448.79
  5. Step 5: Solve for x
    x = 984,448.79/1,319.38
  6. Step 6: Final answer
    x = 746.15

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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.