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Finding the Fourth Proportional to 739.26, 1,110.14 and 709.83

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Solution

The fourth proportional to 739.26, 1,110.14 and 709.83 is: 1,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.26 : 1,110.14 = 709.83 : x
  2. Step 2: Convert to fraction form
    739.26/1,110.14 = 709.83/x
  3. Step 3: Cross multiply
    739.26x = 1,110.14 × 709.83
  4. Step 4: Simplify right side
    739.26x = 788,012.45
  5. Step 5: Solve for x
    x = 788,012.45/739.26
  6. Step 6: Final answer
    x = 1,065.95

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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.