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Finding the Fourth Proportional to 1,761.06, 2,641.86 and 665.40

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Solution

The fourth proportional to 1,761.06, 2,641.86 and 665.40 is: 998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.06 : 2,641.86 = 665.40 : x
  2. Step 2: Convert to fraction form
    1,761.06/2,641.86 = 665.40/x
  3. Step 3: Cross multiply
    1,761.06x = 2,641.86 × 665.40
  4. Step 4: Simplify right side
    1,761.06x = 1,757,893.64
  5. Step 5: Solve for x
    x = 1,757,893.64/1,761.06
  6. Step 6: Final answer
    x = 998.20

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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.