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Finding the Fourth Proportional to 739.79, 1,020.86 and 408.22

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Solution

The fourth proportional to 739.79, 1,020.86 and 408.22 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.79 : 1,020.86 = 408.22 : x
  2. Step 2: Convert to fraction form
    739.79/1,020.86 = 408.22/x
  3. Step 3: Cross multiply
    739.79x = 1,020.86 × 408.22
  4. Step 4: Simplify right side
    739.79x = 416,732.41
  5. Step 5: Solve for x
    x = 416,732.41/739.79
  6. Step 6: Final answer
    x = 563.31

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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.