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Finding the Fourth Proportional to 775, 1,068.23 and 539.29

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Solution

The fourth proportional to 775, 1,068.23 and 539.29 is: 743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775 : 1,068.23 = 539.29 : x
  2. Step 2: Convert to fraction form
    775/1,068.23 = 539.29/x
  3. Step 3: Cross multiply
    775x = 1,068.23 × 539.29
  4. Step 4: Simplify right side
    775x = 576,083.06
  5. Step 5: Solve for x
    x = 576,083.06/775
  6. Step 6: Final answer
    x = 743.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.