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Finding the Fourth Proportional to 600.49, 827.39 and 403.66

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Solution

The fourth proportional to 600.49, 827.39 and 403.66 is: 556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.49 : 827.39 = 403.66 : x
  2. Step 2: Convert to fraction form
    600.49/827.39 = 403.66/x
  3. Step 3: Cross multiply
    600.49x = 827.39 × 403.66
  4. Step 4: Simplify right side
    600.49x = 333,986.29
  5. Step 5: Solve for x
    x = 333,986.29/600.49
  6. Step 6: Final answer
    x = 556.19

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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.