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Finding the Fourth Proportional to 1,044.91, 1,441.92 and 572.79

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Solution

The fourth proportional to 1,044.91, 1,441.92 and 572.79 is: 790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.91 : 1,441.92 = 572.79 : x
  2. Step 2: Convert to fraction form
    1,044.91/1,441.92 = 572.79/x
  3. Step 3: Cross multiply
    1,044.91x = 1,441.92 × 572.79
  4. Step 4: Simplify right side
    1,044.91x = 825,917.36
  5. Step 5: Solve for x
    x = 825,917.36/1,044.91
  6. Step 6: Final answer
    x = 790.42

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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.