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Finding the Fourth Proportional to 471.17, 650.24 and 284.65

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Solution

The fourth proportional to 471.17, 650.24 and 284.65 is: 392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.17 : 650.24 = 284.65 : x
  2. Step 2: Convert to fraction form
    471.17/650.24 = 284.65/x
  3. Step 3: Cross multiply
    471.17x = 650.24 × 284.65
  4. Step 4: Simplify right side
    471.17x = 185,086.14
  5. Step 5: Solve for x
    x = 185,086.14/471.17
  6. Step 6: Final answer
    x = 392.83

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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.