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Finding the Fourth Proportional to 1,115.78, 1,673.60 and 422.75

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Solution

The fourth proportional to 1,115.78, 1,673.60 and 422.75 is: 634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.78 : 1,673.60 = 422.75 : x
  2. Step 2: Convert to fraction form
    1,115.78/1,673.60 = 422.75/x
  3. Step 3: Cross multiply
    1,115.78x = 1,673.60 × 422.75
  4. Step 4: Simplify right side
    1,115.78x = 707,516.47
  5. Step 5: Solve for x
    x = 707,516.47/1,115.78
  6. Step 6: Final answer
    x = 634.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.