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Finding the Fourth Proportional to 650.43, 976.08 and 285.30

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Solution

The fourth proportional to 650.43, 976.08 and 285.30 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 976.08 = 285.30 : x
  2. Step 2: Convert to fraction form
    650.43/976.08 = 285.30/x
  3. Step 3: Cross multiply
    650.43x = 976.08 × 285.30
  4. Step 4: Simplify right side
    650.43x = 278,475.62
  5. Step 5: Solve for x
    x = 278,475.62/650.43
  6. Step 6: Final answer
    x = 428.14

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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.