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Finding the Fourth Proportional to 787.82, 1,175.92 and 722.90

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Solution

The fourth proportional to 787.82, 1,175.92 and 722.90 is: 1,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,175.92 = 722.90 : x
  2. Step 2: Convert to fraction form
    787.82/1,175.92 = 722.90/x
  3. Step 3: Cross multiply
    787.82x = 1,175.92 × 722.90
  4. Step 4: Simplify right side
    787.82x = 850,072.57
  5. Step 5: Solve for x
    x = 850,072.57/787.82
  6. Step 6: Final answer
    x = 1,079.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.