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Finding the Fourth Proportional to 1,044.50, 1,441.44 and 578.78

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Solution

The fourth proportional to 1,044.50, 1,441.44 and 578.78 is: 798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.50 : 1,441.44 = 578.78 : x
  2. Step 2: Convert to fraction form
    1,044.50/1,441.44 = 578.78/x
  3. Step 3: Cross multiply
    1,044.50x = 1,441.44 × 578.78
  4. Step 4: Simplify right side
    1,044.50x = 834,276.64
  5. Step 5: Solve for x
    x = 834,276.64/1,044.50
  6. Step 6: Final answer
    x = 798.73

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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.