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Finding the Fourth Proportional to 879.81, 1,321.08 and 840.85

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Solution

The fourth proportional to 879.81, 1,321.08 and 840.85 is: 1,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.81 : 1,321.08 = 840.85 : x
  2. Step 2: Convert to fraction form
    879.81/1,321.08 = 840.85/x
  3. Step 3: Cross multiply
    879.81x = 1,321.08 × 840.85
  4. Step 4: Simplify right side
    879.81x = 1,110,833.42
  5. Step 5: Solve for x
    x = 1,110,833.42/879.81
  6. Step 6: Final answer
    x = 1,262.58

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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.