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Finding the Fourth Proportional to 1,795.20, 2,693.32 and 641.04

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Solution

The fourth proportional to 1,795.20, 2,693.32 and 641.04 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.20 : 2,693.32 = 641.04 : x
  2. Step 2: Convert to fraction form
    1,795.20/2,693.32 = 641.04/x
  3. Step 3: Cross multiply
    1,795.20x = 2,693.32 × 641.04
  4. Step 4: Simplify right side
    1,795.20x = 1,726,525.85
  5. Step 5: Solve for x
    x = 1,726,525.85/1,795.20
  6. Step 6: Final answer
    x = 961.75

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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.