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Finding the Fourth Proportional to 600.42, 827.64 and 550.20

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Solution

The fourth proportional to 600.42, 827.64 and 550.20 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 827.64 = 550.20 : x
  2. Step 2: Convert to fraction form
    600.42/827.64 = 550.20/x
  3. Step 3: Cross multiply
    600.42x = 827.64 × 550.20
  4. Step 4: Simplify right side
    600.42x = 455,367.53
  5. Step 5: Solve for x
    x = 455,367.53/600.42
  6. Step 6: Final answer
    x = 758.41

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1.5x scale

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.