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Finding the Fourth Proportional to 566.69, 850.25 and 385.79

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Solution

The fourth proportional to 566.69, 850.25 and 385.79 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 850.25 = 385.79 : x
  2. Step 2: Convert to fraction form
    566.69/850.25 = 385.79/x
  3. Step 3: Cross multiply
    566.69x = 850.25 × 385.79
  4. Step 4: Simplify right side
    566.69x = 328,021.04
  5. Step 5: Solve for x
    x = 328,021.04/566.69
  6. Step 6: Final answer
    x = 578.83

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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.