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Finding the Fourth Proportional to 727.07, 1,003.37 and 408.05

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Solution

The fourth proportional to 727.07, 1,003.37 and 408.05 is: 563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.07 : 1,003.37 = 408.05 : x
  2. Step 2: Convert to fraction form
    727.07/1,003.37 = 408.05/x
  3. Step 3: Cross multiply
    727.07x = 1,003.37 × 408.05
  4. Step 4: Simplify right side
    727.07x = 409,425.13
  5. Step 5: Solve for x
    x = 409,425.13/727.07
  6. Step 6: Final answer
    x = 563.12

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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.