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Finding the Fourth Proportional to 643.74, 965.49 and 210.78

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Solution

The fourth proportional to 643.74, 965.49 and 210.78 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 965.49 = 210.78 : x
  2. Step 2: Convert to fraction form
    643.74/965.49 = 210.78/x
  3. Step 3: Cross multiply
    643.74x = 965.49 × 210.78
  4. Step 4: Simplify right side
    643.74x = 203,505.98
  5. Step 5: Solve for x
    x = 203,505.98/643.74
  6. Step 6: Final answer
    x = 316.13

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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.