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Finding the Fourth Proportional to 827.32, 1,142.30 and 748.52

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Solution

The fourth proportional to 827.32, 1,142.30 and 748.52 is: 1,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,142.30 = 748.52 : x
  2. Step 2: Convert to fraction form
    827.32/1,142.30 = 748.52/x
  3. Step 3: Cross multiply
    827.32x = 1,142.30 × 748.52
  4. Step 4: Simplify right side
    827.32x = 855,034.40
  5. Step 5: Solve for x
    x = 855,034.40/827.32
  6. Step 6: Final answer
    x = 1,033.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.