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Finding the Fourth Proportional to 416.52, 624.15 and 324.75

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Solution

The fourth proportional to 416.52, 624.15 and 324.75 is: 486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 624.15 = 324.75 : x
  2. Step 2: Convert to fraction form
    416.52/624.15 = 324.75/x
  3. Step 3: Cross multiply
    416.52x = 624.15 × 324.75
  4. Step 4: Simplify right side
    416.52x = 202,692.71
  5. Step 5: Solve for x
    x = 202,692.71/416.52
  6. Step 6: Final answer
    x = 486.63

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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.