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Finding the Fourth Proportional to 600.16, 827.80 and 423.49

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Solution

The fourth proportional to 600.16, 827.80 and 423.49 is: 584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 827.80 = 423.49 : x
  2. Step 2: Convert to fraction form
    600.16/827.80 = 423.49/x
  3. Step 3: Cross multiply
    600.16x = 827.80 × 423.49
  4. Step 4: Simplify right side
    600.16x = 350,565.02
  5. Step 5: Solve for x
    x = 350,565.02/600.16
  6. Step 6: Final answer
    x = 584.12

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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.