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Finding the Fourth Proportional to 787.18, 1,180.71 and 440.29

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Solution

The fourth proportional to 787.18, 1,180.71 and 440.29 is: 660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.18 : 1,180.71 = 440.29 : x
  2. Step 2: Convert to fraction form
    787.18/1,180.71 = 440.29/x
  3. Step 3: Cross multiply
    787.18x = 1,180.71 × 440.29
  4. Step 4: Simplify right side
    787.18x = 519,854.81
  5. Step 5: Solve for x
    x = 519,854.81/787.18
  6. Step 6: Final answer
    x = 660.40

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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.