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Finding the Fourth Proportional to 871.35, 1,202.75 and 576.64

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Solution

The fourth proportional to 871.35, 1,202.75 and 576.64 is: 795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.35 : 1,202.75 = 576.64 : x
  2. Step 2: Convert to fraction form
    871.35/1,202.75 = 576.64/x
  3. Step 3: Cross multiply
    871.35x = 1,202.75 × 576.64
  4. Step 4: Simplify right side
    871.35x = 693,553.76
  5. Step 5: Solve for x
    x = 693,553.76/871.35
  6. Step 6: Final answer
    x = 795.95

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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.