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Finding the Fourth Proportional to 787.73, 1,180.27 and 556.23

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Solution

The fourth proportional to 787.73, 1,180.27 and 556.23 is: 833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.73 : 1,180.27 = 556.23 : x
  2. Step 2: Convert to fraction form
    787.73/1,180.27 = 556.23/x
  3. Step 3: Cross multiply
    787.73x = 1,180.27 × 556.23
  4. Step 4: Simplify right side
    787.73x = 656,500.19
  5. Step 5: Solve for x
    x = 656,500.19/787.73
  6. Step 6: Final answer
    x = 833.41

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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.