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Finding the Fourth Proportional to 1,122.06, 1,548.80 and 767.85

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Solution

The fourth proportional to 1,122.06, 1,548.80 and 767.85 is: 1,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.06 : 1,548.80 = 767.85 : x
  2. Step 2: Convert to fraction form
    1,122.06/1,548.80 = 767.85/x
  3. Step 3: Cross multiply
    1,122.06x = 1,548.80 × 767.85
  4. Step 4: Simplify right side
    1,122.06x = 1,189,246.58
  5. Step 5: Solve for x
    x = 1,189,246.58/1,122.06
  6. Step 6: Final answer
    x = 1,059.87

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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.