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Finding the Fourth Proportional to 1,142.11, 1,576.11 and 618.14

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Solution

The fourth proportional to 1,142.11, 1,576.11 and 618.14 is: 853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.11 : 1,576.11 = 618.14 : x
  2. Step 2: Convert to fraction form
    1,142.11/1,576.11 = 618.14/x
  3. Step 3: Cross multiply
    1,142.11x = 1,576.11 × 618.14
  4. Step 4: Simplify right side
    1,142.11x = 974,250.55
  5. Step 5: Solve for x
    x = 974,250.55/1,142.11
  6. Step 6: Final answer
    x = 853.03

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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.