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Finding the Fourth Proportional to 1,763.80, 2,645.34 and 723.56

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Solution

The fourth proportional to 1,763.80, 2,645.34 and 723.56 is: 1,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.80 : 2,645.34 = 723.56 : x
  2. Step 2: Convert to fraction form
    1,763.80/2,645.34 = 723.56/x
  3. Step 3: Cross multiply
    1,763.80x = 2,645.34 × 723.56
  4. Step 4: Simplify right side
    1,763.80x = 1,914,062.21
  5. Step 5: Solve for x
    x = 1,914,062.21/1,763.80
  6. Step 6: Final answer
    x = 1,085.19

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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.