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Finding the Fourth Proportional to 661.03, 911.46 and 451.33

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Solution

The fourth proportional to 661.03, 911.46 and 451.33 is: 622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.03 : 911.46 = 451.33 : x
  2. Step 2: Convert to fraction form
    661.03/911.46 = 451.33/x
  3. Step 3: Cross multiply
    661.03x = 911.46 × 451.33
  4. Step 4: Simplify right side
    661.03x = 411,369.24
  5. Step 5: Solve for x
    x = 411,369.24/661.03
  6. Step 6: Final answer
    x = 622.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.