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Finding the Fourth Proportional to 414.48, 616.83 and 400.98

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Solution

The fourth proportional to 414.48, 616.83 and 400.98 is: 596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 616.83 = 400.98 : x
  2. Step 2: Convert to fraction form
    414.48/616.83 = 400.98/x
  3. Step 3: Cross multiply
    414.48x = 616.83 × 400.98
  4. Step 4: Simplify right side
    414.48x = 247,336.49
  5. Step 5: Solve for x
    x = 247,336.49/414.48
  6. Step 6: Final answer
    x = 596.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.