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Finding the Fourth Proportional to 657.62, 986.41 and 267.51

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Solution

The fourth proportional to 657.62, 986.41 and 267.51 is: 401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.62 : 986.41 = 267.51 : x
  2. Step 2: Convert to fraction form
    657.62/986.41 = 267.51/x
  3. Step 3: Cross multiply
    657.62x = 986.41 × 267.51
  4. Step 4: Simplify right side
    657.62x = 263,868.94
  5. Step 5: Solve for x
    x = 263,868.94/657.62
  6. Step 6: Final answer
    x = 401.25

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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.