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Finding the Fourth Proportional to 1,319.52, 1,978.05 and 539.49

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Solution

The fourth proportional to 1,319.52, 1,978.05 and 539.49 is: 808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.52 : 1,978.05 = 539.49 : x
  2. Step 2: Convert to fraction form
    1,319.52/1,978.05 = 539.49/x
  3. Step 3: Cross multiply
    1,319.52x = 1,978.05 × 539.49
  4. Step 4: Simplify right side
    1,319.52x = 1,067,138.19
  5. Step 5: Solve for x
    x = 1,067,138.19/1,319.52
  6. Step 6: Final answer
    x = 808.73

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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.