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Finding the Fourth Proportional to 650.92, 976.10 and 285.94

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Solution

The fourth proportional to 650.92, 976.10 and 285.94 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.92 : 976.10 = 285.94 : x
  2. Step 2: Convert to fraction form
    650.92/976.10 = 285.94/x
  3. Step 3: Cross multiply
    650.92x = 976.10 × 285.94
  4. Step 4: Simplify right side
    650.92x = 279,106.03
  5. Step 5: Solve for x
    x = 279,106.03/650.92
  6. Step 6: Final answer
    x = 428.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.