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Finding the Fourth Proportional to 721.01, 1,081.95 and 288.13

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Solution

The fourth proportional to 721.01, 1,081.95 and 288.13 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.01 : 1,081.95 = 288.13 : x
  2. Step 2: Convert to fraction form
    721.01/1,081.95 = 288.13/x
  3. Step 3: Cross multiply
    721.01x = 1,081.95 × 288.13
  4. Step 4: Simplify right side
    721.01x = 311,735.40
  5. Step 5: Solve for x
    x = 311,735.40/721.01
  6. Step 6: Final answer
    x = 432.36

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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.