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Finding the Fourth Proportional to 827.81, 1,242.02 and 736.68

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Solution

The fourth proportional to 827.81, 1,242.02 and 736.68 is: 1,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.81 : 1,242.02 = 736.68 : x
  2. Step 2: Convert to fraction form
    827.81/1,242.02 = 736.68/x
  3. Step 3: Cross multiply
    827.81x = 1,242.02 × 736.68
  4. Step 4: Simplify right side
    827.81x = 914,971.29
  5. Step 5: Solve for x
    x = 914,971.29/827.81
  6. Step 6: Final answer
    x = 1,105.29

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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.