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Finding the Fourth Proportional to 1,331.80, 1,998.14 and 510.20

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Solution

The fourth proportional to 1,331.80, 1,998.14 and 510.20 is: 765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.80 : 1,998.14 = 510.20 : x
  2. Step 2: Convert to fraction form
    1,331.80/1,998.14 = 510.20/x
  3. Step 3: Cross multiply
    1,331.80x = 1,998.14 × 510.20
  4. Step 4: Simplify right side
    1,331.80x = 1,019,451.03
  5. Step 5: Solve for x
    x = 1,019,451.03/1,331.80
  6. Step 6: Final answer
    x = 765.47

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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.