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Finding the Fourth Proportional to 787.20, 1,181.01 and 774.15

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Solution

The fourth proportional to 787.20, 1,181.01 and 774.15 is: 1,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.20 : 1,181.01 = 774.15 : x
  2. Step 2: Convert to fraction form
    787.20/1,181.01 = 774.15/x
  3. Step 3: Cross multiply
    787.20x = 1,181.01 × 774.15
  4. Step 4: Simplify right side
    787.20x = 914,278.89
  5. Step 5: Solve for x
    x = 914,278.89/787.20
  6. Step 6: Final answer
    x = 1,161.43

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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.