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Finding the Fourth Proportional to 739.20, 1,019.84 and 459.33

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Solution

The fourth proportional to 739.20, 1,019.84 and 459.33 is: 633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.20 : 1,019.84 = 459.33 : x
  2. Step 2: Convert to fraction form
    739.20/1,019.84 = 459.33/x
  3. Step 3: Cross multiply
    739.20x = 1,019.84 × 459.33
  4. Step 4: Simplify right side
    739.20x = 468,443.11
  5. Step 5: Solve for x
    x = 468,443.11/739.20
  6. Step 6: Final answer
    x = 633.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.