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Finding the Fourth Proportional to 749.65, 1,124.19 and 229.49

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Solution

The fourth proportional to 749.65, 1,124.19 and 229.49 is: 344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.65 : 1,124.19 = 229.49 : x
  2. Step 2: Convert to fraction form
    749.65/1,124.19 = 229.49/x
  3. Step 3: Cross multiply
    749.65x = 1,124.19 × 229.49
  4. Step 4: Simplify right side
    749.65x = 257,990.36
  5. Step 5: Solve for x
    x = 257,990.36/749.65
  6. Step 6: Final answer
    x = 344.15

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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.