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Finding the Fourth Proportional to 566.69, 850.23 and 258.75

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Solution

The fourth proportional to 566.69, 850.23 and 258.75 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 850.23 = 258.75 : x
  2. Step 2: Convert to fraction form
    566.69/850.23 = 258.75/x
  3. Step 3: Cross multiply
    566.69x = 850.23 × 258.75
  4. Step 4: Simplify right side
    566.69x = 219,997.01
  5. Step 5: Solve for x
    x = 219,997.01/566.69
  6. Step 6: Final answer
    x = 388.22

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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.