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Finding the Fourth Proportional to 578.82, 798.89 and 404.07

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Solution

The fourth proportional to 578.82, 798.89 and 404.07 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 798.89 = 404.07 : x
  2. Step 2: Convert to fraction form
    578.82/798.89 = 404.07/x
  3. Step 3: Cross multiply
    578.82x = 798.89 × 404.07
  4. Step 4: Simplify right side
    578.82x = 322,805.46
  5. Step 5: Solve for x
    x = 322,805.46/578.82
  6. Step 6: Final answer
    x = 557.70

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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.