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Finding the Fourth Proportional to 1,765.70, 2,648.85 and 726.27

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Solution

The fourth proportional to 1,765.70, 2,648.85 and 726.27 is: 1,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.70 : 2,648.85 = 726.27 : x
  2. Step 2: Convert to fraction form
    1,765.70/2,648.85 = 726.27/x
  3. Step 3: Cross multiply
    1,765.70x = 2,648.85 × 726.27
  4. Step 4: Simplify right side
    1,765.70x = 1,923,780.29
  5. Step 5: Solve for x
    x = 1,923,780.29/1,765.70
  6. Step 6: Final answer
    x = 1,089.53

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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.