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Finding the Fourth Proportional to 727.12, 1,003.44 and 569.96

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Solution

The fourth proportional to 727.12, 1,003.44 and 569.96 is: 786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.12 : 1,003.44 = 569.96 : x
  2. Step 2: Convert to fraction form
    727.12/1,003.44 = 569.96/x
  3. Step 3: Cross multiply
    727.12x = 1,003.44 × 569.96
  4. Step 4: Simplify right side
    727.12x = 571,920.66
  5. Step 5: Solve for x
    x = 571,920.66/727.12
  6. Step 6: Final answer
    x = 786.56

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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.