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Finding the Fourth Proportional to 840.43, 1,261.11 and 320.77

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Solution

The fourth proportional to 840.43, 1,261.11 and 320.77 is: 481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.43 : 1,261.11 = 320.77 : x
  2. Step 2: Convert to fraction form
    840.43/1,261.11 = 320.77/x
  3. Step 3: Cross multiply
    840.43x = 1,261.11 × 320.77
  4. Step 4: Simplify right side
    840.43x = 404,526.25
  5. Step 5: Solve for x
    x = 404,526.25/840.43
  6. Step 6: Final answer
    x = 481.33

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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.