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Finding the Fourth Proportional to 1,319.43, 1,979.04 and 394.91

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Solution

The fourth proportional to 1,319.43, 1,979.04 and 394.91 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.43 : 1,979.04 = 394.91 : x
  2. Step 2: Convert to fraction form
    1,319.43/1,979.04 = 394.91/x
  3. Step 3: Cross multiply
    1,319.43x = 1,979.04 × 394.91
  4. Step 4: Simplify right side
    1,319.43x = 781,542.69
  5. Step 5: Solve for x
    x = 781,542.69/1,319.43
  6. Step 6: Final answer
    x = 592.33

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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.