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Finding the Fourth Proportional to 739.54, 1,108.93 and 328.80

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Solution

The fourth proportional to 739.54, 1,108.93 and 328.80 is: 493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.54 : 1,108.93 = 328.80 : x
  2. Step 2: Convert to fraction form
    739.54/1,108.93 = 328.80/x
  3. Step 3: Cross multiply
    739.54x = 1,108.93 × 328.80
  4. Step 4: Simplify right side
    739.54x = 364,614.54
  5. Step 5: Solve for x
    x = 364,614.54/739.54
  6. Step 6: Final answer
    x = 493.03

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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.