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Finding the Fourth Proportional to 843.42, 1,162.98 and 725.26

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Solution

The fourth proportional to 843.42, 1,162.98 and 725.26 is: 1,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,162.98 = 725.26 : x
  2. Step 2: Convert to fraction form
    843.42/1,162.98 = 725.26/x
  3. Step 3: Cross multiply
    843.42x = 1,162.98 × 725.26
  4. Step 4: Simplify right side
    843.42x = 843,462.87
  5. Step 5: Solve for x
    x = 843,462.87/843.42
  6. Step 6: Final answer
    x = 1,000.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.