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Finding the Fourth Proportional to 550.78, 824.84 and 345.08

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Solution

The fourth proportional to 550.78, 824.84 and 345.08 is: 516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 824.84 = 345.08 : x
  2. Step 2: Convert to fraction form
    550.78/824.84 = 345.08/x
  3. Step 3: Cross multiply
    550.78x = 824.84 × 345.08
  4. Step 4: Simplify right side
    550.78x = 284,635.79
  5. Step 5: Solve for x
    x = 284,635.79/550.78
  6. Step 6: Final answer
    x = 516.79

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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.