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Finding the Fourth Proportional to 739.77, 1,019.97 and 656.70

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Solution

The fourth proportional to 739.77, 1,019.97 and 656.70 is: 905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.77 : 1,019.97 = 656.70 : x
  2. Step 2: Convert to fraction form
    739.77/1,019.97 = 656.70/x
  3. Step 3: Cross multiply
    739.77x = 1,019.97 × 656.70
  4. Step 4: Simplify right side
    739.77x = 669,814.30
  5. Step 5: Solve for x
    x = 669,814.30/739.77
  6. Step 6: Final answer
    x = 905.44

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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.