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Finding the Fourth Proportional to 787.20, 1,179.84 and 376.40

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Solution

The fourth proportional to 787.20, 1,179.84 and 376.40 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.20 : 1,179.84 = 376.40 : x
  2. Step 2: Convert to fraction form
    787.20/1,179.84 = 376.40/x
  3. Step 3: Cross multiply
    787.20x = 1,179.84 × 376.40
  4. Step 4: Simplify right side
    787.20x = 444,091.78
  5. Step 5: Solve for x
    x = 444,091.78/787.20
  6. Step 6: Final answer
    x = 564.14

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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.