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Finding the Fourth Proportional to 836.26, 1,148.85 and 748.91

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Solution

The fourth proportional to 836.26, 1,148.85 and 748.91 is: 1,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.26 : 1,148.85 = 748.91 : x
  2. Step 2: Convert to fraction form
    836.26/1,148.85 = 748.91/x
  3. Step 3: Cross multiply
    836.26x = 1,148.85 × 748.91
  4. Step 4: Simplify right side
    836.26x = 860,388.13
  5. Step 5: Solve for x
    x = 860,388.13/836.26
  6. Step 6: Final answer
    x = 1,028.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.