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Finding the Fourth Proportional to 1,279.92, 1,919.98 and 539.74

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Solution

The fourth proportional to 1,279.92, 1,919.98 and 539.74 is: 809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.92 : 1,919.98 = 539.74 : x
  2. Step 2: Convert to fraction form
    1,279.92/1,919.98 = 539.74/x
  3. Step 3: Cross multiply
    1,279.92x = 1,919.98 × 539.74
  4. Step 4: Simplify right side
    1,279.92x = 1,036,290.01
  5. Step 5: Solve for x
    x = 1,036,290.01/1,279.92
  6. Step 6: Final answer
    x = 809.65

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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.