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Finding the Fourth Proportional to 1,049.71, 1,448.57 and 577.61

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Solution

The fourth proportional to 1,049.71, 1,448.57 and 577.61 is: 797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.71 : 1,448.57 = 577.61 : x
  2. Step 2: Convert to fraction form
    1,049.71/1,448.57 = 577.61/x
  3. Step 3: Cross multiply
    1,049.71x = 1,448.57 × 577.61
  4. Step 4: Simplify right side
    1,049.71x = 836,713.58
  5. Step 5: Solve for x
    x = 836,713.58/1,049.71
  6. Step 6: Final answer
    x = 797.09

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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.