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Finding the Fourth Proportional to 1,618.31, 2,232.49 and 954.71

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Solution

The fourth proportional to 1,618.31, 2,232.49 and 954.71 is: 1,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.31 : 2,232.49 = 954.71 : x
  2. Step 2: Convert to fraction form
    1,618.31/2,232.49 = 954.71/x
  3. Step 3: Cross multiply
    1,618.31x = 2,232.49 × 954.71
  4. Step 4: Simplify right side
    1,618.31x = 2,131,375.75
  5. Step 5: Solve for x
    x = 2,131,375.75/1,618.31
  6. Step 6: Final answer
    x = 1,317.04

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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.