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Finding the Fourth Proportional to 600.48, 827.01 and 452.25

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Solution

The fourth proportional to 600.48, 827.01 and 452.25 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.48 : 827.01 = 452.25 : x
  2. Step 2: Convert to fraction form
    600.48/827.01 = 452.25/x
  3. Step 3: Cross multiply
    600.48x = 827.01 × 452.25
  4. Step 4: Simplify right side
    600.48x = 374,015.27
  5. Step 5: Solve for x
    x = 374,015.27/600.48
  6. Step 6: Final answer
    x = 622.86

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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.