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Finding the Fourth Proportional to 1,763.46, 2,645.94 and 839.66

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Solution

The fourth proportional to 1,763.46, 2,645.94 and 839.66 is: 1,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.46 : 2,645.94 = 839.66 : x
  2. Step 2: Convert to fraction form
    1,763.46/2,645.94 = 839.66/x
  3. Step 3: Cross multiply
    1,763.46x = 2,645.94 × 839.66
  4. Step 4: Simplify right side
    1,763.46x = 2,221,689.98
  5. Step 5: Solve for x
    x = 2,221,689.98/1,763.46
  6. Step 6: Final answer
    x = 1,259.85

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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.