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Finding the Fourth Proportional to 566.43, 850.94 and 402.30

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Solution

The fourth proportional to 566.43, 850.94 and 402.30 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.43 : 850.94 = 402.30 : x
  2. Step 2: Convert to fraction form
    566.43/850.94 = 402.30/x
  3. Step 3: Cross multiply
    566.43x = 850.94 × 402.30
  4. Step 4: Simplify right side
    566.43x = 342,335.05
  5. Step 5: Solve for x
    x = 342,335.05/566.43
  6. Step 6: Final answer
    x = 604.37

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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.