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Finding the Fourth Proportional to 1,759.74, 2,639.34 and 461.31

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Solution

The fourth proportional to 1,759.74, 2,639.34 and 461.31 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.74 : 2,639.34 = 461.31 : x
  2. Step 2: Convert to fraction form
    1,759.74/2,639.34 = 461.31/x
  3. Step 3: Cross multiply
    1,759.74x = 2,639.34 × 461.31
  4. Step 4: Simplify right side
    1,759.74x = 1,217,553.94
  5. Step 5: Solve for x
    x = 1,217,553.94/1,759.74
  6. Step 6: Final answer
    x = 691.89

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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.