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Finding the Fourth Proportional to 753.27, 1,129.36 and 342.19

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Solution

The fourth proportional to 753.27, 1,129.36 and 342.19 is: 513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.27 : 1,129.36 = 342.19 : x
  2. Step 2: Convert to fraction form
    753.27/1,129.36 = 342.19/x
  3. Step 3: Cross multiply
    753.27x = 1,129.36 × 342.19
  4. Step 4: Simplify right side
    753.27x = 386,455.70
  5. Step 5: Solve for x
    x = 386,455.70/753.27
  6. Step 6: Final answer
    x = 513.04

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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.