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Finding the Fourth Proportional to 1,142.03, 1,576.29 and 722.12

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Solution

The fourth proportional to 1,142.03, 1,576.29 and 722.12 is: 996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.03 : 1,576.29 = 722.12 : x
  2. Step 2: Convert to fraction form
    1,142.03/1,576.29 = 722.12/x
  3. Step 3: Cross multiply
    1,142.03x = 1,576.29 × 722.12
  4. Step 4: Simplify right side
    1,142.03x = 1,138,270.53
  5. Step 5: Solve for x
    x = 1,138,270.53/1,142.03
  6. Step 6: Final answer
    x = 996.71

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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.