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Finding the Fourth Proportional to 1,763.57, 2,640.17 and 928.65

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Solution

The fourth proportional to 1,763.57, 2,640.17 and 928.65 is: 1,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.57 : 2,640.17 = 928.65 : x
  2. Step 2: Convert to fraction form
    1,763.57/2,640.17 = 928.65/x
  3. Step 3: Cross multiply
    1,763.57x = 2,640.17 × 928.65
  4. Step 4: Simplify right side
    1,763.57x = 2,451,789.23
  5. Step 5: Solve for x
    x = 2,451,789.23/1,763.57
  6. Step 6: Final answer
    x = 1,390.25

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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.