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Finding the Fourth Proportional to 624.06, 936.90 and 419.40

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Solution

The fourth proportional to 624.06, 936.90 and 419.40 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.06 : 936.90 = 419.40 : x
  2. Step 2: Convert to fraction form
    624.06/936.90 = 419.40/x
  3. Step 3: Cross multiply
    624.06x = 936.90 × 419.40
  4. Step 4: Simplify right side
    624.06x = 392,935.86
  5. Step 5: Solve for x
    x = 392,935.86/624.06
  6. Step 6: Final answer
    x = 629.64

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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.