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Finding the Fourth Proportional to 727.61, 1,004.12 and 396.06

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Solution

The fourth proportional to 727.61, 1,004.12 and 396.06 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.61 : 1,004.12 = 396.06 : x
  2. Step 2: Convert to fraction form
    727.61/1,004.12 = 396.06/x
  3. Step 3: Cross multiply
    727.61x = 1,004.12 × 396.06
  4. Step 4: Simplify right side
    727.61x = 397,697.09
  5. Step 5: Solve for x
    x = 397,697.09/727.61
  6. Step 6: Final answer
    x = 546.58

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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.