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Finding the Fourth Proportional to 787.73, 1,179.90 and 513

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Solution

The fourth proportional to 787.73, 1,179.90 and 513 is: 768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.73 : 1,179.90 = 513 : x
  2. Step 2: Convert to fraction form
    787.73/1,179.90 = 513/x
  3. Step 3: Cross multiply
    787.73x = 1,179.90 × 513
  4. Step 4: Simplify right side
    787.73x = 605,288.70
  5. Step 5: Solve for x
    x = 605,288.70/787.73
  6. Step 6: Final answer
    x = 768.40

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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.