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Finding the Fourth Proportional to 871.90, 1,202.04 and 591.64

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Solution

The fourth proportional to 871.90, 1,202.04 and 591.64 is: 815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.90 : 1,202.04 = 591.64 : x
  2. Step 2: Convert to fraction form
    871.90/1,202.04 = 591.64/x
  3. Step 3: Cross multiply
    871.90x = 1,202.04 × 591.64
  4. Step 4: Simplify right side
    871.90x = 711,171.94
  5. Step 5: Solve for x
    x = 711,171.94/871.90
  6. Step 6: Final answer
    x = 815.66

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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.