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Finding the Fourth Proportional to 1,142.66, 1,576.85 and 618.69

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Solution

The fourth proportional to 1,142.66, 1,576.85 and 618.69 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.66 : 1,576.85 = 618.69 : x
  2. Step 2: Convert to fraction form
    1,142.66/1,576.85 = 618.69/x
  3. Step 3: Cross multiply
    1,142.66x = 1,576.85 × 618.69
  4. Step 4: Simplify right side
    1,142.66x = 975,578.76
  5. Step 5: Solve for x
    x = 975,578.76/1,142.66
  6. Step 6: Final answer
    x = 853.78

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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.