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Finding the Fourth Proportional to 414.54, 571.69 and 283.59

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Solution

The fourth proportional to 414.54, 571.69 and 283.59 is: 391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 571.69 = 283.59 : x
  2. Step 2: Convert to fraction form
    414.54/571.69 = 283.59/x
  3. Step 3: Cross multiply
    414.54x = 571.69 × 283.59
  4. Step 4: Simplify right side
    414.54x = 162,124.15
  5. Step 5: Solve for x
    x = 162,124.15/414.54
  6. Step 6: Final answer
    x = 391.09

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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.