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Finding the Fourth Proportional to 662.69, 993.51 and 267.32

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Solution

The fourth proportional to 662.69, 993.51 and 267.32 is: 400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.69 : 993.51 = 267.32 : x
  2. Step 2: Convert to fraction form
    662.69/993.51 = 267.32/x
  3. Step 3: Cross multiply
    662.69x = 993.51 × 267.32
  4. Step 4: Simplify right side
    662.69x = 265,580.13
  5. Step 5: Solve for x
    x = 265,580.13/662.69
  6. Step 6: Final answer
    x = 400.76

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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.