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Finding the Fourth Proportional to 1,229.75, 1,697.61 and 810.11

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Solution

The fourth proportional to 1,229.75, 1,697.61 and 810.11 is: 1,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.75 : 1,697.61 = 810.11 : x
  2. Step 2: Convert to fraction form
    1,229.75/1,697.61 = 810.11/x
  3. Step 3: Cross multiply
    1,229.75x = 1,697.61 × 810.11
  4. Step 4: Simplify right side
    1,229.75x = 1,375,250.84
  5. Step 5: Solve for x
    x = 1,375,250.84/1,229.75
  6. Step 6: Final answer
    x = 1,118.32

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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.