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Finding the Fourth Proportional to 465.53, 641.95 and 399.37

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Solution

The fourth proportional to 465.53, 641.95 and 399.37 is: 550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.53 : 641.95 = 399.37 : x
  2. Step 2: Convert to fraction form
    465.53/641.95 = 399.37/x
  3. Step 3: Cross multiply
    465.53x = 641.95 × 399.37
  4. Step 4: Simplify right side
    465.53x = 256,375.57
  5. Step 5: Solve for x
    x = 256,375.57/465.53
  6. Step 6: Final answer
    x = 550.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.