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Finding the Fourth Proportional to 879.52, 1,320.09 and 826.60

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Solution

The fourth proportional to 879.52, 1,320.09 and 826.60 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.52 : 1,320.09 = 826.60 : x
  2. Step 2: Convert to fraction form
    879.52/1,320.09 = 826.60/x
  3. Step 3: Cross multiply
    879.52x = 1,320.09 × 826.60
  4. Step 4: Simplify right side
    879.52x = 1,091,186.39
  5. Step 5: Solve for x
    x = 1,091,186.39/879.52
  6. Step 6: Final answer
    x = 1,240.66

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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.