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Finding the Fourth Proportional to 739.94, 1,109.82 and 465.21

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Solution

The fourth proportional to 739.94, 1,109.82 and 465.21 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.94 : 1,109.82 = 465.21 : x
  2. Step 2: Convert to fraction form
    739.94/1,109.82 = 465.21/x
  3. Step 3: Cross multiply
    739.94x = 1,109.82 × 465.21
  4. Step 4: Simplify right side
    739.94x = 516,299.36
  5. Step 5: Solve for x
    x = 516,299.36/739.94
  6. Step 6: Final answer
    x = 697.76

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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.