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Finding the Fourth Proportional to 819.16, 1,226.79 and 525.73

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Solution

The fourth proportional to 819.16, 1,226.79 and 525.73 is: 787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.16 : 1,226.79 = 525.73 : x
  2. Step 2: Convert to fraction form
    819.16/1,226.79 = 525.73/x
  3. Step 3: Cross multiply
    819.16x = 1,226.79 × 525.73
  4. Step 4: Simplify right side
    819.16x = 644,960.31
  5. Step 5: Solve for x
    x = 644,960.31/819.16
  6. Step 6: Final answer
    x = 787.34

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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.