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Finding the Fourth Proportional to 645.59, 968.31 and 183.39

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Solution

The fourth proportional to 645.59, 968.31 and 183.39 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.59 : 968.31 = 183.39 : x
  2. Step 2: Convert to fraction form
    645.59/968.31 = 183.39/x
  3. Step 3: Cross multiply
    645.59x = 968.31 × 183.39
  4. Step 4: Simplify right side
    645.59x = 177,578.37
  5. Step 5: Solve for x
    x = 177,578.37/645.59
  6. Step 6: Final answer
    x = 275.07

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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.