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Finding the Fourth Proportional to 414.72, 570.24 and 374.63

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Solution

The fourth proportional to 414.72, 570.24 and 374.63 is: 515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 570.24 = 374.63 : x
  2. Step 2: Convert to fraction form
    414.72/570.24 = 374.63/x
  3. Step 3: Cross multiply
    414.72x = 570.24 × 374.63
  4. Step 4: Simplify right side
    414.72x = 213,626.16
  5. Step 5: Solve for x
    x = 213,626.16/414.72
  6. Step 6: Final answer
    x = 515.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.