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Finding the Fourth Proportional to 721.92, 1,083.21 and 260.08

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Solution

The fourth proportional to 721.92, 1,083.21 and 260.08 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 1,083.21 = 260.08 : x
  2. Step 2: Convert to fraction form
    721.92/1,083.21 = 260.08/x
  3. Step 3: Cross multiply
    721.92x = 1,083.21 × 260.08
  4. Step 4: Simplify right side
    721.92x = 281,721.26
  5. Step 5: Solve for x
    x = 281,721.26/721.92
  6. Step 6: Final answer
    x = 390.24

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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.