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Finding the Fourth Proportional to 645.48, 965.79 and 401.94

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Solution

The fourth proportional to 645.48, 965.79 and 401.94 is: 601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.48 : 965.79 = 401.94 : x
  2. Step 2: Convert to fraction form
    645.48/965.79 = 401.94/x
  3. Step 3: Cross multiply
    645.48x = 965.79 × 401.94
  4. Step 4: Simplify right side
    645.48x = 388,189.63
  5. Step 5: Solve for x
    x = 388,189.63/645.48
  6. Step 6: Final answer
    x = 601.40

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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.