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Finding the Fourth Proportional to 771.92, 1,058.11 and 761.54

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Solution

The fourth proportional to 771.92, 1,058.11 and 761.54 is: 1,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,058.11 = 761.54 : x
  2. Step 2: Convert to fraction form
    771.92/1,058.11 = 761.54/x
  3. Step 3: Cross multiply
    771.92x = 1,058.11 × 761.54
  4. Step 4: Simplify right side
    771.92x = 805,793.09
  5. Step 5: Solve for x
    x = 805,793.09/771.92
  6. Step 6: Final answer
    x = 1,043.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.