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Finding the Fourth Proportional to 624.41, 936.89 and 259.44

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Solution

The fourth proportional to 624.41, 936.89 and 259.44 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.41 : 936.89 = 259.44 : x
  2. Step 2: Convert to fraction form
    624.41/936.89 = 259.44/x
  3. Step 3: Cross multiply
    624.41x = 936.89 × 259.44
  4. Step 4: Simplify right side
    624.41x = 243,065.44
  5. Step 5: Solve for x
    x = 243,065.44/624.41
  6. Step 6: Final answer
    x = 389.28

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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.