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Finding the Fourth Proportional to 656.78, 985.48 and 267.05

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Solution

The fourth proportional to 656.78, 985.48 and 267.05 is: 400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 985.48 = 267.05 : x
  2. Step 2: Convert to fraction form
    656.78/985.48 = 267.05/x
  3. Step 3: Cross multiply
    656.78x = 985.48 × 267.05
  4. Step 4: Simplify right side
    656.78x = 263,174.23
  5. Step 5: Solve for x
    x = 263,174.23/656.78
  6. Step 6: Final answer
    x = 400.71

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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.