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Finding the Fourth Proportional to 650.31, 974.85 and 285.31

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Solution

The fourth proportional to 650.31, 974.85 and 285.31 is: 427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.31 : 974.85 = 285.31 : x
  2. Step 2: Convert to fraction form
    650.31/974.85 = 285.31/x
  3. Step 3: Cross multiply
    650.31x = 974.85 × 285.31
  4. Step 4: Simplify right side
    650.31x = 278,134.45
  5. Step 5: Solve for x
    x = 278,134.45/650.31
  6. Step 6: Final answer
    x = 427.70

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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.