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Finding the Fourth Proportional to 650.41, 974.94 and 285.01

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Solution

The fourth proportional to 650.41, 974.94 and 285.01 is: 427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 974.94 = 285.01 : x
  2. Step 2: Convert to fraction form
    650.41/974.94 = 285.01/x
  3. Step 3: Cross multiply
    650.41x = 974.94 × 285.01
  4. Step 4: Simplify right side
    650.41x = 277,867.65
  5. Step 5: Solve for x
    x = 277,867.65/650.41
  6. Step 6: Final answer
    x = 427.22

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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.