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Finding the Fourth Proportional to 739.53, 1,109.28 and 300.78

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Solution

The fourth proportional to 739.53, 1,109.28 and 300.78 is: 451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.53 : 1,109.28 = 300.78 : x
  2. Step 2: Convert to fraction form
    739.53/1,109.28 = 300.78/x
  3. Step 3: Cross multiply
    739.53x = 1,109.28 × 300.78
  4. Step 4: Simplify right side
    739.53x = 333,649.24
  5. Step 5: Solve for x
    x = 333,649.24/739.53
  6. Step 6: Final answer
    x = 451.16

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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.