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Finding the Fourth Proportional to 562.42, 843.27 and 287.98

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Solution

The fourth proportional to 562.42, 843.27 and 287.98 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 843.27 = 287.98 : x
  2. Step 2: Convert to fraction form
    562.42/843.27 = 287.98/x
  3. Step 3: Cross multiply
    562.42x = 843.27 × 287.98
  4. Step 4: Simplify right side
    562.42x = 242,844.89
  5. Step 5: Solve for x
    x = 242,844.89/562.42
  6. Step 6: Final answer
    x = 431.79

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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.