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Finding the Fourth Proportional to 650.59, 975.94 and 217.81

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Solution

The fourth proportional to 650.59, 975.94 and 217.81 is: 326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.59 : 975.94 = 217.81 : x
  2. Step 2: Convert to fraction form
    650.59/975.94 = 217.81/x
  3. Step 3: Cross multiply
    650.59x = 975.94 × 217.81
  4. Step 4: Simplify right side
    650.59x = 212,564.61
  5. Step 5: Solve for x
    x = 212,564.61/650.59
  6. Step 6: Final answer
    x = 326.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.