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Finding the Fourth Proportional to 624.36, 936.54 and 419.33

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Solution

The fourth proportional to 624.36, 936.54 and 419.33 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.36 : 936.54 = 419.33 : x
  2. Step 2: Convert to fraction form
    624.36/936.54 = 419.33/x
  3. Step 3: Cross multiply
    624.36x = 936.54 × 419.33
  4. Step 4: Simplify right side
    624.36x = 392,715.21
  5. Step 5: Solve for x
    x = 392,715.21/624.36
  6. Step 6: Final answer
    x = 628.99

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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.