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Finding the Fourth Proportional to 787.78, 1,180.05 and 696.70

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Solution

The fourth proportional to 787.78, 1,180.05 and 696.70 is: 1,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.78 : 1,180.05 = 696.70 : x
  2. Step 2: Convert to fraction form
    787.78/1,180.05 = 696.70/x
  3. Step 3: Cross multiply
    787.78x = 1,180.05 × 696.70
  4. Step 4: Simplify right side
    787.78x = 822,140.84
  5. Step 5: Solve for x
    x = 822,140.84/787.78
  6. Step 6: Final answer
    x = 1,043.62

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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.