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Finding the Fourth Proportional to 727.91, 1,004.52 and 396.34

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Solution

The fourth proportional to 727.91, 1,004.52 and 396.34 is: 546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.91 : 1,004.52 = 396.34 : x
  2. Step 2: Convert to fraction form
    727.91/1,004.52 = 396.34/x
  3. Step 3: Cross multiply
    727.91x = 1,004.52 × 396.34
  4. Step 4: Simplify right side
    727.91x = 398,127.95
  5. Step 5: Solve for x
    x = 398,127.95/727.91
  6. Step 6: Final answer
    x = 546.94

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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.