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Finding the Fourth Proportional to 1,101.78, 1,644.39 and 952.88

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Solution

The fourth proportional to 1,101.78, 1,644.39 and 952.88 is: 1,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.78 : 1,644.39 = 952.88 : x
  2. Step 2: Convert to fraction form
    1,101.78/1,644.39 = 952.88/x
  3. Step 3: Cross multiply
    1,101.78x = 1,644.39 × 952.88
  4. Step 4: Simplify right side
    1,101.78x = 1,566,898.12
  5. Step 5: Solve for x
    x = 1,566,898.12/1,101.78
  6. Step 6: Final answer
    x = 1,422.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.