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Finding the Fourth Proportional to 624.62, 936.96 and 277.58

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Solution

The fourth proportional to 624.62, 936.96 and 277.58 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.62 : 936.96 = 277.58 : x
  2. Step 2: Convert to fraction form
    624.62/936.96 = 277.58/x
  3. Step 3: Cross multiply
    624.62x = 936.96 × 277.58
  4. Step 4: Simplify right side
    624.62x = 260,081.36
  5. Step 5: Solve for x
    x = 260,081.36/624.62
  6. Step 6: Final answer
    x = 416.38

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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.