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Finding the Fourth Proportional to 414.76, 572.52 and 284.44

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Solution

The fourth proportional to 414.76, 572.52 and 284.44 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 572.52 = 284.44 : x
  2. Step 2: Convert to fraction form
    414.76/572.52 = 284.44/x
  3. Step 3: Cross multiply
    414.76x = 572.52 × 284.44
  4. Step 4: Simplify right side
    414.76x = 162,847.59
  5. Step 5: Solve for x
    x = 162,847.59/414.76
  6. Step 6: Final answer
    x = 392.63

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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.