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Finding the Fourth Proportional to 1,278.74, 1,765.53 and 979.46

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Solution

The fourth proportional to 1,278.74, 1,765.53 and 979.46 is: 1,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.74 : 1,765.53 = 979.46 : x
  2. Step 2: Convert to fraction form
    1,278.74/1,765.53 = 979.46/x
  3. Step 3: Cross multiply
    1,278.74x = 1,765.53 × 979.46
  4. Step 4: Simplify right side
    1,278.74x = 1,729,257.19
  5. Step 5: Solve for x
    x = 1,729,257.19/1,278.74
  6. Step 6: Final answer
    x = 1,352.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.