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Finding the Fourth Proportional to 624.74, 936.75 and 259.79

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Solution

The fourth proportional to 624.74, 936.75 and 259.79 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.74 : 936.75 = 259.79 : x
  2. Step 2: Convert to fraction form
    624.74/936.75 = 259.79/x
  3. Step 3: Cross multiply
    624.74x = 936.75 × 259.79
  4. Step 4: Simplify right side
    624.74x = 243,358.28
  5. Step 5: Solve for x
    x = 243,358.28/624.74
  6. Step 6: Final answer
    x = 389.54

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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.