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Finding the Fourth Proportional to 739.35, 1,106.86 and 448.83

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Solution

The fourth proportional to 739.35, 1,106.86 and 448.83 is: 671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,106.86 = 448.83 : x
  2. Step 2: Convert to fraction form
    739.35/1,106.86 = 448.83/x
  3. Step 3: Cross multiply
    739.35x = 1,106.86 × 448.83
  4. Step 4: Simplify right side
    739.35x = 496,793.66
  5. Step 5: Solve for x
    x = 496,793.66/739.35
  6. Step 6: Final answer
    x = 671.93

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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.