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Finding the Fourth Proportional to 1,229.82, 1,697.85 and 810.90

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Solution

The fourth proportional to 1,229.82, 1,697.85 and 810.90 is: 1,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.82 : 1,697.85 = 810.90 : x
  2. Step 2: Convert to fraction form
    1,229.82/1,697.85 = 810.90/x
  3. Step 3: Cross multiply
    1,229.82x = 1,697.85 × 810.90
  4. Step 4: Simplify right side
    1,229.82x = 1,376,786.57
  5. Step 5: Solve for x
    x = 1,376,786.57/1,229.82
  6. Step 6: Final answer
    x = 1,119.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.