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Finding the Fourth Proportional to 753.27, 1,130.19 and 387.82

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Solution

The fourth proportional to 753.27, 1,130.19 and 387.82 is: 581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.27 : 1,130.19 = 387.82 : x
  2. Step 2: Convert to fraction form
    753.27/1,130.19 = 387.82/x
  3. Step 3: Cross multiply
    753.27x = 1,130.19 × 387.82
  4. Step 4: Simplify right side
    753.27x = 438,310.24
  5. Step 5: Solve for x
    x = 438,310.24/753.27
  6. Step 6: Final answer
    x = 581.88

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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.