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Finding the Fourth Proportional to 550.11, 757.51 and 470.83

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Solution

The fourth proportional to 550.11, 757.51 and 470.83 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.11 : 757.51 = 470.83 : x
  2. Step 2: Convert to fraction form
    550.11/757.51 = 470.83/x
  3. Step 3: Cross multiply
    550.11x = 757.51 × 470.83
  4. Step 4: Simplify right side
    550.11x = 356,658.43
  5. Step 5: Solve for x
    x = 356,658.43/550.11
  6. Step 6: Final answer
    x = 648.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.