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Finding the Fourth Proportional to 414.06, 623.55 and 386.72

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Solution

The fourth proportional to 414.06, 623.55 and 386.72 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 623.55 = 386.72 : x
  2. Step 2: Convert to fraction form
    414.06/623.55 = 386.72/x
  3. Step 3: Cross multiply
    414.06x = 623.55 × 386.72
  4. Step 4: Simplify right side
    414.06x = 241,141.26
  5. Step 5: Solve for x
    x = 241,141.26/414.06
  6. Step 6: Final answer
    x = 582.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.