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Finding the Fourth Proportional to 739.85, 1,108.23 and 492.26

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Solution

The fourth proportional to 739.85, 1,108.23 and 492.26 is: 737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,108.23 = 492.26 : x
  2. Step 2: Convert to fraction form
    739.85/1,108.23 = 492.26/x
  3. Step 3: Cross multiply
    739.85x = 1,108.23 × 492.26
  4. Step 4: Simplify right side
    739.85x = 545,531.76
  5. Step 5: Solve for x
    x = 545,531.76/739.85
  6. Step 6: Final answer
    x = 737.36

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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.