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Finding the Fourth Proportional to 579.68, 800.24 and 404.96

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Solution

The fourth proportional to 579.68, 800.24 and 404.96 is: 559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 800.24 = 404.96 : x
  2. Step 2: Convert to fraction form
    579.68/800.24 = 404.96/x
  3. Step 3: Cross multiply
    579.68x = 800.24 × 404.96
  4. Step 4: Simplify right side
    579.68x = 324,065.19
  5. Step 5: Solve for x
    x = 324,065.19/579.68
  6. Step 6: Final answer
    x = 559.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.