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Finding the Fourth Proportional to 414.14, 570.52 and 354.94

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Solution

The fourth proportional to 414.14, 570.52 and 354.94 is: 488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 570.52 = 354.94 : x
  2. Step 2: Convert to fraction form
    414.14/570.52 = 354.94/x
  3. Step 3: Cross multiply
    414.14x = 570.52 × 354.94
  4. Step 4: Simplify right side
    414.14x = 202,503.59
  5. Step 5: Solve for x
    x = 202,503.59/414.14
  6. Step 6: Final answer
    x = 488.97

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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.