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Finding the Fourth Proportional to 787.30, 1,085.97 and 613.06

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Solution

The fourth proportional to 787.30, 1,085.97 and 613.06 is: 845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.30 : 1,085.97 = 613.06 : x
  2. Step 2: Convert to fraction form
    787.30/1,085.97 = 613.06/x
  3. Step 3: Cross multiply
    787.30x = 1,085.97 × 613.06
  4. Step 4: Simplify right side
    787.30x = 665,764.77
  5. Step 5: Solve for x
    x = 665,764.77/787.30
  6. Step 6: Final answer
    x = 845.63

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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.