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Finding the Fourth Proportional to 787.75, 1,179.82 and 440.32

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Solution

The fourth proportional to 787.75, 1,179.82 and 440.32 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.75 : 1,179.82 = 440.32 : x
  2. Step 2: Convert to fraction form
    787.75/1,179.82 = 440.32/x
  3. Step 3: Cross multiply
    787.75x = 1,179.82 × 440.32
  4. Step 4: Simplify right side
    787.75x = 519,490.24
  5. Step 5: Solve for x
    x = 519,490.24/787.75
  6. Step 6: Final answer
    x = 659.46

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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.