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Finding the Fourth Proportional to 1,166.20, 1,749.98 and 836.78

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Solution

The fourth proportional to 1,166.20, 1,749.98 and 836.78 is: 1,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.20 : 1,749.98 = 836.78 : x
  2. Step 2: Convert to fraction form
    1,166.20/1,749.98 = 836.78/x
  3. Step 3: Cross multiply
    1,166.20x = 1,749.98 × 836.78
  4. Step 4: Simplify right side
    1,166.20x = 1,464,348.26
  5. Step 5: Solve for x
    x = 1,464,348.26/1,166.20
  6. Step 6: Final answer
    x = 1,255.66

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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.