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Finding the Fourth Proportional to 566.82, 850.05 and 278.46

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Solution

The fourth proportional to 566.82, 850.05 and 278.46 is: 417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 850.05 = 278.46 : x
  2. Step 2: Convert to fraction form
    566.82/850.05 = 278.46/x
  3. Step 3: Cross multiply
    566.82x = 850.05 × 278.46
  4. Step 4: Simplify right side
    566.82x = 236,704.92
  5. Step 5: Solve for x
    x = 236,704.92/566.82
  6. Step 6: Final answer
    x = 417.60

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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.