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Finding the Fourth Proportional to 727.15, 1,003.37 and 412.43

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Solution

The fourth proportional to 727.15, 1,003.37 and 412.43 is: 569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.15 : 1,003.37 = 412.43 : x
  2. Step 2: Convert to fraction form
    727.15/1,003.37 = 412.43/x
  3. Step 3: Cross multiply
    727.15x = 1,003.37 × 412.43
  4. Step 4: Simplify right side
    727.15x = 413,817.83
  5. Step 5: Solve for x
    x = 413,817.83/727.15
  6. Step 6: Final answer
    x = 569.10

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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.