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Finding the Fourth Proportional to 550.90, 827.21 and 474.72

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Solution

The fourth proportional to 550.90, 827.21 and 474.72 is: 712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 827.21 = 474.72 : x
  2. Step 2: Convert to fraction form
    550.90/827.21 = 474.72/x
  3. Step 3: Cross multiply
    550.90x = 827.21 × 474.72
  4. Step 4: Simplify right side
    550.90x = 392,693.13
  5. Step 5: Solve for x
    x = 392,693.13/550.90
  6. Step 6: Final answer
    x = 712.82

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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.