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Finding the Fourth Proportional to 1,721.85, 2,582.16 and 747.72

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Solution

The fourth proportional to 1,721.85, 2,582.16 and 747.72 is: 1,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.85 : 2,582.16 = 747.72 : x
  2. Step 2: Convert to fraction form
    1,721.85/2,582.16 = 747.72/x
  3. Step 3: Cross multiply
    1,721.85x = 2,582.16 × 747.72
  4. Step 4: Simplify right side
    1,721.85x = 1,930,732.68
  5. Step 5: Solve for x
    x = 1,930,732.68/1,721.85
  6. Step 6: Final answer
    x = 1,121.31

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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.