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Finding the Fourth Proportional to 817.78, 1,226.04 and 406.48

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Solution

The fourth proportional to 817.78, 1,226.04 and 406.48 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.78 : 1,226.04 = 406.48 : x
  2. Step 2: Convert to fraction form
    817.78/1,226.04 = 406.48/x
  3. Step 3: Cross multiply
    817.78x = 1,226.04 × 406.48
  4. Step 4: Simplify right side
    817.78x = 498,360.74
  5. Step 5: Solve for x
    x = 498,360.74/817.78
  6. Step 6: Final answer
    x = 609.41

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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.