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Finding the Fourth Proportional to 645.88, 968.93 and 212.94

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Solution

The fourth proportional to 645.88, 968.93 and 212.94 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 968.93 = 212.94 : x
  2. Step 2: Convert to fraction form
    645.88/968.93 = 212.94/x
  3. Step 3: Cross multiply
    645.88x = 968.93 × 212.94
  4. Step 4: Simplify right side
    645.88x = 206,323.95
  5. Step 5: Solve for x
    x = 206,323.95/645.88
  6. Step 6: Final answer
    x = 319.45

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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.