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Finding the Fourth Proportional to 787.48, 1,179.87 and 440.74

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Solution

The fourth proportional to 787.48, 1,179.87 and 440.74 is: 660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.48 : 1,179.87 = 440.74 : x
  2. Step 2: Convert to fraction form
    787.48/1,179.87 = 440.74/x
  3. Step 3: Cross multiply
    787.48x = 1,179.87 × 440.74
  4. Step 4: Simplify right side
    787.48x = 520,015.90
  5. Step 5: Solve for x
    x = 520,015.90/787.48
  6. Step 6: Final answer
    x = 660.35

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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.