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Finding the Fourth Proportional to 1,044.85, 1,569.36 and 655.55

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Solution

The fourth proportional to 1,044.85, 1,569.36 and 655.55 is: 984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.85 : 1,569.36 = 655.55 : x
  2. Step 2: Convert to fraction form
    1,044.85/1,569.36 = 655.55/x
  3. Step 3: Cross multiply
    1,044.85x = 1,569.36 × 655.55
  4. Step 4: Simplify right side
    1,044.85x = 1,028,793.95
  5. Step 5: Solve for x
    x = 1,028,793.95/1,044.85
  6. Step 6: Final answer
    x = 984.63

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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.