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Finding the Fourth Proportional to 562.95, 843.08 and 331.29

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Solution

The fourth proportional to 562.95, 843.08 and 331.29 is: 496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.95 : 843.08 = 331.29 : x
  2. Step 2: Convert to fraction form
    562.95/843.08 = 331.29/x
  3. Step 3: Cross multiply
    562.95x = 843.08 × 331.29
  4. Step 4: Simplify right side
    562.95x = 279,302.32
  5. Step 5: Solve for x
    x = 279,302.32/562.95
  6. Step 6: Final answer
    x = 496.14

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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.