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Finding the Fourth Proportional to 1,015.16, 1,522.42 and 331

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Solution

The fourth proportional to 1,015.16, 1,522.42 and 331 is: 496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.16 : 1,522.42 = 331 : x
  2. Step 2: Convert to fraction form
    1,015.16/1,522.42 = 331/x
  3. Step 3: Cross multiply
    1,015.16x = 1,522.42 × 331
  4. Step 4: Simplify right side
    1,015.16x = 503,921.02
  5. Step 5: Solve for x
    x = 503,921.02/1,015.16
  6. Step 6: Final answer
    x = 496.40

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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.