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Finding the Fourth Proportional to 1,044.53, 1,441.45 and 578.78

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Solution

The fourth proportional to 1,044.53, 1,441.45 and 578.78 is: 798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.53 : 1,441.45 = 578.78 : x
  2. Step 2: Convert to fraction form
    1,044.53/1,441.45 = 578.78/x
  3. Step 3: Cross multiply
    1,044.53x = 1,441.45 × 578.78
  4. Step 4: Simplify right side
    1,044.53x = 834,287.48
  5. Step 5: Solve for x
    x = 834,287.48/1,044.53
  6. Step 6: Final answer
    x = 798.72

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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.