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Finding the Fourth Proportional to 871.78, 1,201.56 and 830.77

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Solution

The fourth proportional to 871.78, 1,201.56 and 830.77 is: 1,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.78 : 1,201.56 = 830.77 : x
  2. Step 2: Convert to fraction form
    871.78/1,201.56 = 830.77/x
  3. Step 3: Cross multiply
    871.78x = 1,201.56 × 830.77
  4. Step 4: Simplify right side
    871.78x = 998,220.00
  5. Step 5: Solve for x
    x = 998,220.00/871.78
  6. Step 6: Final answer
    x = 1,145.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.