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Finding the Fourth Proportional to 1,142.35, 1,576.43 and 618.38

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Solution

The fourth proportional to 1,142.35, 1,576.43 and 618.38 is: 853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.35 : 1,576.43 = 618.38 : x
  2. Step 2: Convert to fraction form
    1,142.35/1,576.43 = 618.38/x
  3. Step 3: Cross multiply
    1,142.35x = 1,576.43 × 618.38
  4. Step 4: Simplify right side
    1,142.35x = 974,826.45
  5. Step 5: Solve for x
    x = 974,826.45/1,142.35
  6. Step 6: Final answer
    x = 853.35

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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.