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Finding the Fourth Proportional to 1,331.45, 1,997.32 and 510.42

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Solution

The fourth proportional to 1,331.45, 1,997.32 and 510.42 is: 765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.45 : 1,997.32 = 510.42 : x
  2. Step 2: Convert to fraction form
    1,331.45/1,997.32 = 510.42/x
  3. Step 3: Cross multiply
    1,331.45x = 1,997.32 × 510.42
  4. Step 4: Simplify right side
    1,331.45x = 1,019,470.80
  5. Step 5: Solve for x
    x = 1,019,470.80/1,331.45
  6. Step 6: Final answer
    x = 765.68

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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.