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Finding the Fourth Proportional to 650.61, 976.15 and 285.43

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Solution

The fourth proportional to 650.61, 976.15 and 285.43 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 976.15 = 285.43 : x
  2. Step 2: Convert to fraction form
    650.61/976.15 = 285.43/x
  3. Step 3: Cross multiply
    650.61x = 976.15 × 285.43
  4. Step 4: Simplify right side
    650.61x = 278,622.49
  5. Step 5: Solve for x
    x = 278,622.49/650.61
  6. Step 6: Final answer
    x = 428.25

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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.