Home / 1,142.20-1,576.25-618.23

Finding the Fourth Proportional to 1,142.20, 1,576.25 and 618.23

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Solution

The fourth proportional to 1,142.20, 1,576.25 and 618.23 is: 853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.20 : 1,576.25 = 618.23 : x
  2. Step 2: Convert to fraction form
    1,142.20/1,576.25 = 618.23/x
  3. Step 3: Cross multiply
    1,142.20x = 1,576.25 × 618.23
  4. Step 4: Simplify right side
    1,142.20x = 974,488.21
  5. Step 5: Solve for x
    x = 974,488.21/1,142.20
  6. Step 6: Final answer
    x = 853.17

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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.