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Finding the Fourth Proportional to 1,331.10, 1,996.74 and 509.27

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Solution

The fourth proportional to 1,331.10, 1,996.74 and 509.27 is: 763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.10 : 1,996.74 = 509.27 : x
  2. Step 2: Convert to fraction form
    1,331.10/1,996.74 = 509.27/x
  3. Step 3: Cross multiply
    1,331.10x = 1,996.74 × 509.27
  4. Step 4: Simplify right side
    1,331.10x = 1,016,869.80
  5. Step 5: Solve for x
    x = 1,016,869.80/1,331.10
  6. Step 6: Final answer
    x = 763.93

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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.