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Finding the Fourth Proportional to 624.40, 936.60 and 419.20

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Solution

The fourth proportional to 624.40, 936.60 and 419.20 is: 628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.40 : 936.60 = 419.20 : x
  2. Step 2: Convert to fraction form
    624.40/936.60 = 419.20/x
  3. Step 3: Cross multiply
    624.40x = 936.60 × 419.20
  4. Step 4: Simplify right side
    624.40x = 392,622.72
  5. Step 5: Solve for x
    x = 392,622.72/624.40
  6. Step 6: Final answer
    x = 628.80

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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.