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Finding the Fourth Proportional to 825.87, 1,140.81 and 661.26

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Solution

The fourth proportional to 825.87, 1,140.81 and 661.26 is: 913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.87 : 1,140.81 = 661.26 : x
  2. Step 2: Convert to fraction form
    825.87/1,140.81 = 661.26/x
  3. Step 3: Cross multiply
    825.87x = 1,140.81 × 661.26
  4. Step 4: Simplify right side
    825.87x = 754,372.02
  5. Step 5: Solve for x
    x = 754,372.02/825.87
  6. Step 6: Final answer
    x = 913.43

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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.