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Finding the Fourth Proportional to 1,638.23, 2,260.31 and 956.61

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Solution

The fourth proportional to 1,638.23, 2,260.31 and 956.61 is: 1,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.23 : 2,260.31 = 956.61 : x
  2. Step 2: Convert to fraction form
    1,638.23/2,260.31 = 956.61/x
  3. Step 3: Cross multiply
    1,638.23x = 2,260.31 × 956.61
  4. Step 4: Simplify right side
    1,638.23x = 2,162,230.37
  5. Step 5: Solve for x
    x = 2,162,230.37/1,638.23
  6. Step 6: Final answer
    x = 1,319.86

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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.