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Finding the Fourth Proportional to 727.30, 1,091.36 and 402.63

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Solution

The fourth proportional to 727.30, 1,091.36 and 402.63 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.30 : 1,091.36 = 402.63 : x
  2. Step 2: Convert to fraction form
    727.30/1,091.36 = 402.63/x
  3. Step 3: Cross multiply
    727.30x = 1,091.36 × 402.63
  4. Step 4: Simplify right side
    727.30x = 439,414.28
  5. Step 5: Solve for x
    x = 439,414.28/727.30
  6. Step 6: Final answer
    x = 604.17

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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.