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Finding the Fourth Proportional to 721.92, 1,083.27 and 478.56

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Solution

The fourth proportional to 721.92, 1,083.27 and 478.56 is: 718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 1,083.27 = 478.56 : x
  2. Step 2: Convert to fraction form
    721.92/1,083.27 = 478.56/x
  3. Step 3: Cross multiply
    721.92x = 1,083.27 × 478.56
  4. Step 4: Simplify right side
    721.92x = 518,409.69
  5. Step 5: Solve for x
    x = 518,409.69/721.92
  6. Step 6: Final answer
    x = 718.10

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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.