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Finding the Fourth Proportional to 787.03, 1,179.33 and 523.39

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Solution

The fourth proportional to 787.03, 1,179.33 and 523.39 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.03 : 1,179.33 = 523.39 : x
  2. Step 2: Convert to fraction form
    787.03/1,179.33 = 523.39/x
  3. Step 3: Cross multiply
    787.03x = 1,179.33 × 523.39
  4. Step 4: Simplify right side
    787.03x = 617,249.53
  5. Step 5: Solve for x
    x = 617,249.53/787.03
  6. Step 6: Final answer
    x = 784.28

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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.