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Finding the Fourth Proportional to 650.28, 975.27 and 217.35

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Solution

The fourth proportional to 650.28, 975.27 and 217.35 is: 325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 975.27 = 217.35 : x
  2. Step 2: Convert to fraction form
    650.28/975.27 = 217.35/x
  3. Step 3: Cross multiply
    650.28x = 975.27 × 217.35
  4. Step 4: Simplify right side
    650.28x = 211,974.93
  5. Step 5: Solve for x
    x = 211,974.93/650.28
  6. Step 6: Final answer
    x = 325.97

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1.5x scale

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.