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Finding the Fourth Proportional to 840.91, 1,261.26 and 263.79

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Solution

The fourth proportional to 840.91, 1,261.26 and 263.79 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.91 : 1,261.26 = 263.79 : x
  2. Step 2: Convert to fraction form
    840.91/1,261.26 = 263.79/x
  3. Step 3: Cross multiply
    840.91x = 1,261.26 × 263.79
  4. Step 4: Simplify right side
    840.91x = 332,707.78
  5. Step 5: Solve for x
    x = 332,707.78/840.91
  6. Step 6: Final answer
    x = 395.65

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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.