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Finding the Fourth Proportional to 749.42, 1,123.79 and 229.49

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Solution

The fourth proportional to 749.42, 1,123.79 and 229.49 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.42 : 1,123.79 = 229.49 : x
  2. Step 2: Convert to fraction form
    749.42/1,123.79 = 229.49/x
  3. Step 3: Cross multiply
    749.42x = 1,123.79 × 229.49
  4. Step 4: Simplify right side
    749.42x = 257,891.80
  5. Step 5: Solve for x
    x = 257,891.80/749.42
  6. Step 6: Final answer
    x = 344.12

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Similar ratio
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1.5x scale

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.