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Finding the Fourth Proportional to 414.81, 571.56 and 283.59

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Solution

The fourth proportional to 414.81, 571.56 and 283.59 is: 390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.81 : 571.56 = 283.59 : x
  2. Step 2: Convert to fraction form
    414.81/571.56 = 283.59/x
  3. Step 3: Cross multiply
    414.81x = 571.56 × 283.59
  4. Step 4: Simplify right side
    414.81x = 162,088.70
  5. Step 5: Solve for x
    x = 162,088.70/414.81
  6. Step 6: Final answer
    x = 390.75

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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.