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Finding the Fourth Proportional to 1,162.70, 1,742.42 and 873.80

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Solution

The fourth proportional to 1,162.70, 1,742.42 and 873.80 is: 1,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.70 : 1,742.42 = 873.80 : x
  2. Step 2: Convert to fraction form
    1,162.70/1,742.42 = 873.80/x
  3. Step 3: Cross multiply
    1,162.70x = 1,742.42 × 873.80
  4. Step 4: Simplify right side
    1,162.70x = 1,522,526.60
  5. Step 5: Solve for x
    x = 1,522,526.60/1,162.70
  6. Step 6: Final answer
    x = 1,309.48

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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.