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Finding the Fourth Proportional to 861.06, 1,291.60 and 852.56

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Solution

The fourth proportional to 861.06, 1,291.60 and 852.56 is: 1,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.06 : 1,291.60 = 852.56 : x
  2. Step 2: Convert to fraction form
    861.06/1,291.60 = 852.56/x
  3. Step 3: Cross multiply
    861.06x = 1,291.60 × 852.56
  4. Step 4: Simplify right side
    861.06x = 1,101,166.50
  5. Step 5: Solve for x
    x = 1,101,166.50/861.06
  6. Step 6: Final answer
    x = 1,278.85

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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.