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Finding the Fourth Proportional to 414.58, 572.81 and 335.15

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Solution

The fourth proportional to 414.58, 572.81 and 335.15 is: 463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.58 : 572.81 = 335.15 : x
  2. Step 2: Convert to fraction form
    414.58/572.81 = 335.15/x
  3. Step 3: Cross multiply
    414.58x = 572.81 × 335.15
  4. Step 4: Simplify right side
    414.58x = 191,977.27
  5. Step 5: Solve for x
    x = 191,977.27/414.58
  6. Step 6: Final answer
    x = 463.06

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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.