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Finding the Fourth Proportional to 414.96, 618.98 and 400.74

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Solution

The fourth proportional to 414.96, 618.98 and 400.74 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 618.98 = 400.74 : x
  2. Step 2: Convert to fraction form
    414.96/618.98 = 400.74/x
  3. Step 3: Cross multiply
    414.96x = 618.98 × 400.74
  4. Step 4: Simplify right side
    414.96x = 248,050.05
  5. Step 5: Solve for x
    x = 248,050.05/414.96
  6. Step 6: Final answer
    x = 597.77

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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.