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Finding the Fourth Proportional to 729.46, 1,086.82 and 713.06

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Solution

The fourth proportional to 729.46, 1,086.82 and 713.06 is: 1,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.46 : 1,086.82 = 713.06 : x
  2. Step 2: Convert to fraction form
    729.46/1,086.82 = 713.06/x
  3. Step 3: Cross multiply
    729.46x = 1,086.82 × 713.06
  4. Step 4: Simplify right side
    729.46x = 774,967.87
  5. Step 5: Solve for x
    x = 774,967.87/729.46
  6. Step 6: Final answer
    x = 1,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.