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Finding the Fourth Proportional to 414.72, 621.14 and 386.24

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Solution

The fourth proportional to 414.72, 621.14 and 386.24 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 621.14 = 386.24 : x
  2. Step 2: Convert to fraction form
    414.72/621.14 = 386.24/x
  3. Step 3: Cross multiply
    414.72x = 621.14 × 386.24
  4. Step 4: Simplify right side
    414.72x = 239,904.08
  5. Step 5: Solve for x
    x = 239,904.08/414.72
  6. Step 6: Final answer
    x = 578.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.