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Finding the Fourth Proportional to 645.52, 968.34 and 212.68

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Solution

The fourth proportional to 645.52, 968.34 and 212.68 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 968.34 = 212.68 : x
  2. Step 2: Convert to fraction form
    645.52/968.34 = 212.68/x
  3. Step 3: Cross multiply
    645.52x = 968.34 × 212.68
  4. Step 4: Simplify right side
    645.52x = 205,946.55
  5. Step 5: Solve for x
    x = 205,946.55/645.52
  6. Step 6: Final answer
    x = 319.04

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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.