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Finding the Fourth Proportional to 1,122.78, 1,549.31 and 674.60

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Solution

The fourth proportional to 1,122.78, 1,549.31 and 674.60 is: 930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.78 : 1,549.31 = 674.60 : x
  2. Step 2: Convert to fraction form
    1,122.78/1,549.31 = 674.60/x
  3. Step 3: Cross multiply
    1,122.78x = 1,549.31 × 674.60
  4. Step 4: Simplify right side
    1,122.78x = 1,045,164.53
  5. Step 5: Solve for x
    x = 1,045,164.53/1,122.78
  6. Step 6: Final answer
    x = 930.87

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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.