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Finding the Fourth Proportional to 650.14, 974.96 and 284.74

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Solution

The fourth proportional to 650.14, 974.96 and 284.74 is: 427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.14 : 974.96 = 284.74 : x
  2. Step 2: Convert to fraction form
    650.14/974.96 = 284.74/x
  3. Step 3: Cross multiply
    650.14x = 974.96 × 284.74
  4. Step 4: Simplify right side
    650.14x = 277,610.11
  5. Step 5: Solve for x
    x = 277,610.11/650.14
  6. Step 6: Final answer
    x = 427.00

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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.