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Finding the Fourth Proportional to 566.38, 850.38 and 556.66

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Solution

The fourth proportional to 566.38, 850.38 and 556.66 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 850.38 = 556.66 : x
  2. Step 2: Convert to fraction form
    566.38/850.38 = 556.66/x
  3. Step 3: Cross multiply
    566.38x = 850.38 × 556.66
  4. Step 4: Simplify right side
    566.38x = 473,372.53
  5. Step 5: Solve for x
    x = 473,372.53/566.38
  6. Step 6: Final answer
    x = 835.79

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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.