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Finding the Fourth Proportional to 739.35, 1,020.69 and 573.21

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Solution

The fourth proportional to 739.35, 1,020.69 and 573.21 is: 791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,020.69 = 573.21 : x
  2. Step 2: Convert to fraction form
    739.35/1,020.69 = 573.21/x
  3. Step 3: Cross multiply
    739.35x = 1,020.69 × 573.21
  4. Step 4: Simplify right side
    739.35x = 585,069.71
  5. Step 5: Solve for x
    x = 585,069.71/739.35
  6. Step 6: Final answer
    x = 791.33

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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.