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Finding the Fourth Proportional to 749.10, 1,123.60 and 229.05

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Solution

The fourth proportional to 749.10, 1,123.60 and 229.05 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.10 : 1,123.60 = 229.05 : x
  2. Step 2: Convert to fraction form
    749.10/1,123.60 = 229.05/x
  3. Step 3: Cross multiply
    749.10x = 1,123.60 × 229.05
  4. Step 4: Simplify right side
    749.10x = 257,363.92
  5. Step 5: Solve for x
    x = 257,363.92/749.10
  6. Step 6: Final answer
    x = 343.57

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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.