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Finding the Fourth Proportional to 1,331.78, 1,996.86 and 510.11

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Solution

The fourth proportional to 1,331.78, 1,996.86 and 510.11 is: 764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.78 : 1,996.86 = 510.11 : x
  2. Step 2: Convert to fraction form
    1,331.78/1,996.86 = 510.11/x
  3. Step 3: Cross multiply
    1,331.78x = 1,996.86 × 510.11
  4. Step 4: Simplify right side
    1,331.78x = 1,018,618.25
  5. Step 5: Solve for x
    x = 1,018,618.25/1,331.78
  6. Step 6: Final answer
    x = 764.85

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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.