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Finding the Fourth Proportional to 1,279.62, 1,917.66 and 584.55

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Solution

The fourth proportional to 1,279.62, 1,917.66 and 584.55 is: 876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.62 : 1,917.66 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,279.62/1,917.66 = 584.55/x
  3. Step 3: Cross multiply
    1,279.62x = 1,917.66 × 584.55
  4. Step 4: Simplify right side
    1,279.62x = 1,120,968.15
  5. Step 5: Solve for x
    x = 1,120,968.15/1,279.62
  6. Step 6: Final answer
    x = 876.02

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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.