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Finding the Fourth Proportional to 739.76, 1,108.82 and 328.59

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Solution

The fourth proportional to 739.76, 1,108.82 and 328.59 is: 492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.76 : 1,108.82 = 328.59 : x
  2. Step 2: Convert to fraction form
    739.76/1,108.82 = 328.59/x
  3. Step 3: Cross multiply
    739.76x = 1,108.82 × 328.59
  4. Step 4: Simplify right side
    739.76x = 364,345.52
  5. Step 5: Solve for x
    x = 364,345.52/739.76
  6. Step 6: Final answer
    x = 492.52

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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.