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Finding the Fourth Proportional to 871.23, 1,304.28 and 562.62

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Solution

The fourth proportional to 871.23, 1,304.28 and 562.62 is: 842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.23 : 1,304.28 = 562.62 : x
  2. Step 2: Convert to fraction form
    871.23/1,304.28 = 562.62/x
  3. Step 3: Cross multiply
    871.23x = 1,304.28 × 562.62
  4. Step 4: Simplify right side
    871.23x = 733,814.01
  5. Step 5: Solve for x
    x = 733,814.01/871.23
  6. Step 6: Final answer
    x = 842.27

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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.