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Finding the Fourth Proportional to 1,299.33, 1,949.40 and 811.71

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Solution

The fourth proportional to 1,299.33, 1,949.40 and 811.71 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.33 : 1,949.40 = 811.71 : x
  2. Step 2: Convert to fraction form
    1,299.33/1,949.40 = 811.71/x
  3. Step 3: Cross multiply
    1,299.33x = 1,949.40 × 811.71
  4. Step 4: Simplify right side
    1,299.33x = 1,582,347.47
  5. Step 5: Solve for x
    x = 1,582,347.47/1,299.33
  6. Step 6: Final answer
    x = 1,217.82

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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.