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Finding the Fourth Proportional to 681.07, 940.40 and 523.45

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Solution

The fourth proportional to 681.07, 940.40 and 523.45 is: 722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.07 : 940.40 = 523.45 : x
  2. Step 2: Convert to fraction form
    681.07/940.40 = 523.45/x
  3. Step 3: Cross multiply
    681.07x = 940.40 × 523.45
  4. Step 4: Simplify right side
    681.07x = 492,248.72
  5. Step 5: Solve for x
    x = 492,248.72/681.07
  6. Step 6: Final answer
    x = 722.76

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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.