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Finding the Fourth Proportional to 1,160.76, 1,741.86 and 851.85

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Solution

The fourth proportional to 1,160.76, 1,741.86 and 851.85 is: 1,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.76 : 1,741.86 = 851.85 : x
  2. Step 2: Convert to fraction form
    1,160.76/1,741.86 = 851.85/x
  3. Step 3: Cross multiply
    1,160.76x = 1,741.86 × 851.85
  4. Step 4: Simplify right side
    1,160.76x = 1,483,803.44
  5. Step 5: Solve for x
    x = 1,483,803.44/1,160.76
  6. Step 6: Final answer
    x = 1,278.30

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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.