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Finding the Fourth Proportional to 1,229.20, 1,696.48 and 810.76

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Solution

The fourth proportional to 1,229.20, 1,696.48 and 810.76 is: 1,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.20 : 1,696.48 = 810.76 : x
  2. Step 2: Convert to fraction form
    1,229.20/1,696.48 = 810.76/x
  3. Step 3: Cross multiply
    1,229.20x = 1,696.48 × 810.76
  4. Step 4: Simplify right side
    1,229.20x = 1,375,438.12
  5. Step 5: Solve for x
    x = 1,375,438.12/1,229.20
  6. Step 6: Final answer
    x = 1,118.97

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Half scale
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Double scale
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1.5x scale

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.