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Finding the Fourth Proportional to 1,190.38, 1,642.92 and 748.35

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Solution

The fourth proportional to 1,190.38, 1,642.92 and 748.35 is: 1,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.38 : 1,642.92 = 748.35 : x
  2. Step 2: Convert to fraction form
    1,190.38/1,642.92 = 748.35/x
  3. Step 3: Cross multiply
    1,190.38x = 1,642.92 × 748.35
  4. Step 4: Simplify right side
    1,190.38x = 1,229,479.18
  5. Step 5: Solve for x
    x = 1,229,479.18/1,190.38
  6. Step 6: Final answer
    x = 1,032.85

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Half scale
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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.