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Finding the Fourth Proportional to 414.72, 621 and 360.72

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Solution

The fourth proportional to 414.72, 621 and 360.72 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 621 = 360.72 : x
  2. Step 2: Convert to fraction form
    414.72/621 = 360.72/x
  3. Step 3: Cross multiply
    414.72x = 621 × 360.72
  4. Step 4: Simplify right side
    414.72x = 224,007.12
  5. Step 5: Solve for x
    x = 224,007.12/414.72
  6. Step 6: Final answer
    x = 540.14

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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.