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Finding the Fourth Proportional to 749.72, 1,124.70 and 229.70

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Solution

The fourth proportional to 749.72, 1,124.70 and 229.70 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.72 : 1,124.70 = 229.70 : x
  2. Step 2: Convert to fraction form
    749.72/1,124.70 = 229.70/x
  3. Step 3: Cross multiply
    749.72x = 1,124.70 × 229.70
  4. Step 4: Simplify right side
    749.72x = 258,346.83
  5. Step 5: Solve for x
    x = 258,346.83/749.72
  6. Step 6: Final answer
    x = 344.59

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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.