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Finding the Fourth Proportional to 787.21, 1,179.97 and 513.50

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Solution

The fourth proportional to 787.21, 1,179.97 and 513.50 is: 769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.21 : 1,179.97 = 513.50 : x
  2. Step 2: Convert to fraction form
    787.21/1,179.97 = 513.50/x
  3. Step 3: Cross multiply
    787.21x = 1,179.97 × 513.50
  4. Step 4: Simplify right side
    787.21x = 605,907.41
  5. Step 5: Solve for x
    x = 605,907.41/787.21
  6. Step 6: Final answer
    x = 769.69

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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.