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Finding the Fourth Proportional to 672.37, 1,007.92 and 261.19

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Solution

The fourth proportional to 672.37, 1,007.92 and 261.19 is: 391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.37 : 1,007.92 = 261.19 : x
  2. Step 2: Convert to fraction form
    672.37/1,007.92 = 261.19/x
  3. Step 3: Cross multiply
    672.37x = 1,007.92 × 261.19
  4. Step 4: Simplify right side
    672.37x = 263,258.62
  5. Step 5: Solve for x
    x = 263,258.62/672.37
  6. Step 6: Final answer
    x = 391.54

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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.