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Finding the Fourth Proportional to 624.48, 936.16 and 418.24

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Solution

The fourth proportional to 624.48, 936.16 and 418.24 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 936.16 = 418.24 : x
  2. Step 2: Convert to fraction form
    624.48/936.16 = 418.24/x
  3. Step 3: Cross multiply
    624.48x = 936.16 × 418.24
  4. Step 4: Simplify right side
    624.48x = 391,539.56
  5. Step 5: Solve for x
    x = 391,539.56/624.48
  6. Step 6: Final answer
    x = 626.98

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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.