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Finding the Fourth Proportional to 739.72, 1,108.90 and 328.64

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Solution

The fourth proportional to 739.72, 1,108.90 and 328.64 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.72 : 1,108.90 = 328.64 : x
  2. Step 2: Convert to fraction form
    739.72/1,108.90 = 328.64/x
  3. Step 3: Cross multiply
    739.72x = 1,108.90 × 328.64
  4. Step 4: Simplify right side
    739.72x = 364,428.90
  5. Step 5: Solve for x
    x = 364,428.90/739.72
  6. Step 6: Final answer
    x = 492.66

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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.