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Finding the Fourth Proportional to 566.96, 850.53 and 278.42

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Solution

The fourth proportional to 566.96, 850.53 and 278.42 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 850.53 = 278.42 : x
  2. Step 2: Convert to fraction form
    566.96/850.53 = 278.42/x
  3. Step 3: Cross multiply
    566.96x = 850.53 × 278.42
  4. Step 4: Simplify right side
    566.96x = 236,804.56
  5. Step 5: Solve for x
    x = 236,804.56/566.96
  6. Step 6: Final answer
    x = 417.67

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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.