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Finding the Fourth Proportional to 1,319.92, 1,978.49 and 539.62

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Solution

The fourth proportional to 1,319.92, 1,978.49 and 539.62 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.92 : 1,978.49 = 539.62 : x
  2. Step 2: Convert to fraction form
    1,319.92/1,978.49 = 539.62/x
  3. Step 3: Cross multiply
    1,319.92x = 1,978.49 × 539.62
  4. Step 4: Simplify right side
    1,319.92x = 1,067,629.18
  5. Step 5: Solve for x
    x = 1,067,629.18/1,319.92
  6. Step 6: Final answer
    x = 808.86

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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.