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Finding the Fourth Proportional to 624.24, 936.18 and 408.96

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Solution

The fourth proportional to 624.24, 936.18 and 408.96 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 936.18 = 408.96 : x
  2. Step 2: Convert to fraction form
    624.24/936.18 = 408.96/x
  3. Step 3: Cross multiply
    624.24x = 936.18 × 408.96
  4. Step 4: Simplify right side
    624.24x = 382,860.17
  5. Step 5: Solve for x
    x = 382,860.17/624.24
  6. Step 6: Final answer
    x = 613.32

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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.