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Finding the Fourth Proportional to 739.74, 1,020.82 and 408.16

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Solution

The fourth proportional to 739.74, 1,020.82 and 408.16 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.74 : 1,020.82 = 408.16 : x
  2. Step 2: Convert to fraction form
    739.74/1,020.82 = 408.16/x
  3. Step 3: Cross multiply
    739.74x = 1,020.82 × 408.16
  4. Step 4: Simplify right side
    739.74x = 416,657.89
  5. Step 5: Solve for x
    x = 416,657.89/739.74
  6. Step 6: Final answer
    x = 563.25

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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.