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Finding the Fourth Proportional to 727.26, 1,003.69 and 465.22

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Solution

The fourth proportional to 727.26, 1,003.69 and 465.22 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.26 : 1,003.69 = 465.22 : x
  2. Step 2: Convert to fraction form
    727.26/1,003.69 = 465.22/x
  3. Step 3: Cross multiply
    727.26x = 1,003.69 × 465.22
  4. Step 4: Simplify right side
    727.26x = 466,936.66
  5. Step 5: Solve for x
    x = 466,936.66/727.26
  6. Step 6: Final answer
    x = 642.05

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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.