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Finding the Fourth Proportional to 1,162.23, 1,741.68 and 873.87

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Solution

The fourth proportional to 1,162.23, 1,741.68 and 873.87 is: 1,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.23 : 1,741.68 = 873.87 : x
  2. Step 2: Convert to fraction form
    1,162.23/1,741.68 = 873.87/x
  3. Step 3: Cross multiply
    1,162.23x = 1,741.68 × 873.87
  4. Step 4: Simplify right side
    1,162.23x = 1,522,001.90
  5. Step 5: Solve for x
    x = 1,522,001.90/1,162.23
  6. Step 6: Final answer
    x = 1,309.55

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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.