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Finding the Fourth Proportional to 787.84, 1,181.91 and 260.78

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Solution

The fourth proportional to 787.84, 1,181.91 and 260.78 is: 391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.84 : 1,181.91 = 260.78 : x
  2. Step 2: Convert to fraction form
    787.84/1,181.91 = 260.78/x
  3. Step 3: Cross multiply
    787.84x = 1,181.91 × 260.78
  4. Step 4: Simplify right side
    787.84x = 308,218.49
  5. Step 5: Solve for x
    x = 308,218.49/787.84
  6. Step 6: Final answer
    x = 391.22

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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.