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Finding the Fourth Proportional to 624.75, 936.15 and 418.53

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Solution

The fourth proportional to 624.75, 936.15 and 418.53 is: 627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 936.15 = 418.53 : x
  2. Step 2: Convert to fraction form
    624.75/936.15 = 418.53/x
  3. Step 3: Cross multiply
    624.75x = 936.15 × 418.53
  4. Step 4: Simplify right side
    624.75x = 391,806.86
  5. Step 5: Solve for x
    x = 391,806.86/624.75
  6. Step 6: Final answer
    x = 627.14

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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.