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Finding the Fourth Proportional to 787.26, 1,085.26 and 600.43

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Solution

The fourth proportional to 787.26, 1,085.26 and 600.43 is: 827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,085.26 = 600.43 : x
  2. Step 2: Convert to fraction form
    787.26/1,085.26 = 600.43/x
  3. Step 3: Cross multiply
    787.26x = 1,085.26 × 600.43
  4. Step 4: Simplify right side
    787.26x = 651,622.66
  5. Step 5: Solve for x
    x = 651,622.66/787.26
  6. Step 6: Final answer
    x = 827.71

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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.