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Finding the Fourth Proportional to 550.80, 827.82 and 510.66

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Solution

The fourth proportional to 550.80, 827.82 and 510.66 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.80 : 827.82 = 510.66 : x
  2. Step 2: Convert to fraction form
    550.80/827.82 = 510.66/x
  3. Step 3: Cross multiply
    550.80x = 827.82 × 510.66
  4. Step 4: Simplify right side
    550.80x = 422,734.56
  5. Step 5: Solve for x
    x = 422,734.56/550.80
  6. Step 6: Final answer
    x = 767.49

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1.5x scale

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.