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Finding the Fourth Proportional to 1,513.25, 2,269.89 and 539.39

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Solution

The fourth proportional to 1,513.25, 2,269.89 and 539.39 is: 809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.25 : 2,269.89 = 539.39 : x
  2. Step 2: Convert to fraction form
    1,513.25/2,269.89 = 539.39/x
  3. Step 3: Cross multiply
    1,513.25x = 2,269.89 × 539.39
  4. Step 4: Simplify right side
    1,513.25x = 1,224,355.97
  5. Step 5: Solve for x
    x = 1,224,355.97/1,513.25
  6. Step 6: Final answer
    x = 809.09

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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.