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Finding the Fourth Proportional to 550.78, 826.11 and 414.70

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Solution

The fourth proportional to 550.78, 826.11 and 414.70 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 826.11 = 414.70 : x
  2. Step 2: Convert to fraction form
    550.78/826.11 = 414.70/x
  3. Step 3: Cross multiply
    550.78x = 826.11 × 414.70
  4. Step 4: Simplify right side
    550.78x = 342,587.82
  5. Step 5: Solve for x
    x = 342,587.82/550.78
  6. Step 6: Final answer
    x = 622.00

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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.