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Finding the Fourth Proportional to 727.40, 1,004.04 and 540.83

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Solution

The fourth proportional to 727.40, 1,004.04 and 540.83 is: 746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.40 : 1,004.04 = 540.83 : x
  2. Step 2: Convert to fraction form
    727.40/1,004.04 = 540.83/x
  3. Step 3: Cross multiply
    727.40x = 1,004.04 × 540.83
  4. Step 4: Simplify right side
    727.40x = 543,009.93
  5. Step 5: Solve for x
    x = 543,009.93/727.40
  6. Step 6: Final answer
    x = 746.51

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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.