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Finding the Fourth Proportional to 414.77, 618.59 and 401.10

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Solution

The fourth proportional to 414.77, 618.59 and 401.10 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 618.59 = 401.10 : x
  2. Step 2: Convert to fraction form
    414.77/618.59 = 401.10/x
  3. Step 3: Cross multiply
    414.77x = 618.59 × 401.10
  4. Step 4: Simplify right side
    414.77x = 248,116.36
  5. Step 5: Solve for x
    x = 248,116.36/414.77
  6. Step 6: Final answer
    x = 598.20

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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.