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Finding the Fourth Proportional to 850.23, 1,172.29 and 661.23

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Solution

The fourth proportional to 850.23, 1,172.29 and 661.23 is: 911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.23 : 1,172.29 = 661.23 : x
  2. Step 2: Convert to fraction form
    850.23/1,172.29 = 661.23/x
  3. Step 3: Cross multiply
    850.23x = 1,172.29 × 661.23
  4. Step 4: Simplify right side
    850.23x = 775,153.32
  5. Step 5: Solve for x
    x = 775,153.32/850.23
  6. Step 6: Final answer
    x = 911.70

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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.