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Finding the Fourth Proportional to 414.68, 618.30 and 407.39

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Solution

The fourth proportional to 414.68, 618.30 and 407.39 is: 607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 618.30 = 407.39 : x
  2. Step 2: Convert to fraction form
    414.68/618.30 = 407.39/x
  3. Step 3: Cross multiply
    414.68x = 618.30 × 407.39
  4. Step 4: Simplify right side
    414.68x = 251,887.20
  5. Step 5: Solve for x
    x = 251,887.20/414.68
  6. Step 6: Final answer
    x = 607.43

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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.