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Finding the Fourth Proportional to 1,024.85, 1,537.46 and 331.31

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Solution

The fourth proportional to 1,024.85, 1,537.46 and 331.31 is: 497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.85 : 1,537.46 = 331.31 : x
  2. Step 2: Convert to fraction form
    1,024.85/1,537.46 = 331.31/x
  3. Step 3: Cross multiply
    1,024.85x = 1,537.46 × 331.31
  4. Step 4: Simplify right side
    1,024.85x = 509,375.87
  5. Step 5: Solve for x
    x = 509,375.87/1,024.85
  6. Step 6: Final answer
    x = 497.02

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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.