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Finding the Fourth Proportional to 739.53, 1,106.87 and 494.37

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Solution

The fourth proportional to 739.53, 1,106.87 and 494.37 is: 739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.53 : 1,106.87 = 494.37 : x
  2. Step 2: Convert to fraction form
    739.53/1,106.87 = 494.37/x
  3. Step 3: Cross multiply
    739.53x = 1,106.87 × 494.37
  4. Step 4: Simplify right side
    739.53x = 547,200.85
  5. Step 5: Solve for x
    x = 547,200.85/739.53
  6. Step 6: Final answer
    x = 739.93

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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.