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Finding the Fourth Proportional to 753.38, 1,129.61 and 314.10

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Solution

The fourth proportional to 753.38, 1,129.61 and 314.10 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.38 : 1,129.61 = 314.10 : x
  2. Step 2: Convert to fraction form
    753.38/1,129.61 = 314.10/x
  3. Step 3: Cross multiply
    753.38x = 1,129.61 × 314.10
  4. Step 4: Simplify right side
    753.38x = 354,811.29
  5. Step 5: Solve for x
    x = 354,811.29/753.38
  6. Step 6: Final answer
    x = 470.96

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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.