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Finding the Fourth Proportional to 723.24, 1,090.23 and 681.48

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Solution

The fourth proportional to 723.24, 1,090.23 and 681.48 is: 1,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 1,090.23 = 681.48 : x
  2. Step 2: Convert to fraction form
    723.24/1,090.23 = 681.48/x
  3. Step 3: Cross multiply
    723.24x = 1,090.23 × 681.48
  4. Step 4: Simplify right side
    723.24x = 742,969.94
  5. Step 5: Solve for x
    x = 742,969.94/723.24
  6. Step 6: Final answer
    x = 1,027.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.