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Finding the Fourth Proportional to 550.91, 824.85 and 429.41

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Solution

The fourth proportional to 550.91, 824.85 and 429.41 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.91 : 824.85 = 429.41 : x
  2. Step 2: Convert to fraction form
    550.91/824.85 = 429.41/x
  3. Step 3: Cross multiply
    550.91x = 824.85 × 429.41
  4. Step 4: Simplify right side
    550.91x = 354,200.90
  5. Step 5: Solve for x
    x = 354,200.90/550.91
  6. Step 6: Final answer
    x = 642.93

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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.