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Finding the Fourth Proportional to 727.65, 1,004.39 and 541.08

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Solution

The fourth proportional to 727.65, 1,004.39 and 541.08 is: 746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.65 : 1,004.39 = 541.08 : x
  2. Step 2: Convert to fraction form
    727.65/1,004.39 = 541.08/x
  3. Step 3: Cross multiply
    727.65x = 1,004.39 × 541.08
  4. Step 4: Simplify right side
    727.65x = 543,447.61
  5. Step 5: Solve for x
    x = 543,447.61/727.65
  6. Step 6: Final answer
    x = 746.86

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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.