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Finding the Fourth Proportional to 578.45, 865.65 and 404.30

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Solution

The fourth proportional to 578.45, 865.65 and 404.30 is: 605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.45 : 865.65 = 404.30 : x
  2. Step 2: Convert to fraction form
    578.45/865.65 = 404.30/x
  3. Step 3: Cross multiply
    578.45x = 865.65 × 404.30
  4. Step 4: Simplify right side
    578.45x = 349,982.30
  5. Step 5: Solve for x
    x = 349,982.30/578.45
  6. Step 6: Final answer
    x = 605.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.