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Finding the Fourth Proportional to 657.37, 986.03 and 267.26

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Solution

The fourth proportional to 657.37, 986.03 and 267.26 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.37 : 986.03 = 267.26 : x
  2. Step 2: Convert to fraction form
    657.37/986.03 = 267.26/x
  3. Step 3: Cross multiply
    657.37x = 986.03 × 267.26
  4. Step 4: Simplify right side
    657.37x = 263,522.12
  5. Step 5: Solve for x
    x = 263,522.12/657.37
  6. Step 6: Final answer
    x = 400.87

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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.