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Finding the Fourth Proportional to 579.93, 800.61 and 404.97

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Solution

The fourth proportional to 579.93, 800.61 and 404.97 is: 559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.93 : 800.61 = 404.97 : x
  2. Step 2: Convert to fraction form
    579.93/800.61 = 404.97/x
  3. Step 3: Cross multiply
    579.93x = 800.61 × 404.97
  4. Step 4: Simplify right side
    579.93x = 324,223.03
  5. Step 5: Solve for x
    x = 324,223.03/579.93
  6. Step 6: Final answer
    x = 559.07

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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.