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Finding the Fourth Proportional to 727.95, 1,092.13 and 554.81

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Solution

The fourth proportional to 727.95, 1,092.13 and 554.81 is: 832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.95 : 1,092.13 = 554.81 : x
  2. Step 2: Convert to fraction form
    727.95/1,092.13 = 554.81/x
  3. Step 3: Cross multiply
    727.95x = 1,092.13 × 554.81
  4. Step 4: Simplify right side
    727.95x = 605,921.87
  5. Step 5: Solve for x
    x = 605,921.87/727.95
  6. Step 6: Final answer
    x = 832.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.