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Finding the Fourth Proportional to 579.28, 872.83 and 478.82

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Solution

The fourth proportional to 579.28, 872.83 and 478.82 is: 721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.28 : 872.83 = 478.82 : x
  2. Step 2: Convert to fraction form
    579.28/872.83 = 478.82/x
  3. Step 3: Cross multiply
    579.28x = 872.83 × 478.82
  4. Step 4: Simplify right side
    579.28x = 417,928.46
  5. Step 5: Solve for x
    x = 417,928.46/579.28
  6. Step 6: Final answer
    x = 721.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.