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Finding the Fourth Proportional to 2,279.46, 3,418.53 and 980.64

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Solution

The fourth proportional to 2,279.46, 3,418.53 and 980.64 is: 1,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.46 : 3,418.53 = 980.64 : x
  2. Step 2: Convert to fraction form
    2,279.46/3,418.53 = 980.64/x
  3. Step 3: Cross multiply
    2,279.46x = 3,418.53 × 980.64
  4. Step 4: Simplify right side
    2,279.46x = 3,352,347.26
  5. Step 5: Solve for x
    x = 3,352,347.26/2,279.46
  6. Step 6: Final answer
    x = 1,470.68

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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.