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Finding the Fourth Proportional to 739.07, 1,108.31 and 276.69

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Solution

The fourth proportional to 739.07, 1,108.31 and 276.69 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.07 : 1,108.31 = 276.69 : x
  2. Step 2: Convert to fraction form
    739.07/1,108.31 = 276.69/x
  3. Step 3: Cross multiply
    739.07x = 1,108.31 × 276.69
  4. Step 4: Simplify right side
    739.07x = 306,656.91
  5. Step 5: Solve for x
    x = 306,656.91/739.07
  6. Step 6: Final answer
    x = 414.93

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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.