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Finding the Fourth Proportional to 579.52, 798.04 and 404.56

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Solution

The fourth proportional to 579.52, 798.04 and 404.56 is: 557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.52 : 798.04 = 404.56 : x
  2. Step 2: Convert to fraction form
    579.52/798.04 = 404.56/x
  3. Step 3: Cross multiply
    579.52x = 798.04 × 404.56
  4. Step 4: Simplify right side
    579.52x = 322,855.06
  5. Step 5: Solve for x
    x = 322,855.06/579.52
  6. Step 6: Final answer
    x = 557.11

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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.