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Finding the Fourth Proportional to 681.19, 940.14 and 415.71

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Solution

The fourth proportional to 681.19, 940.14 and 415.71 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.19 : 940.14 = 415.71 : x
  2. Step 2: Convert to fraction form
    681.19/940.14 = 415.71/x
  3. Step 3: Cross multiply
    681.19x = 940.14 × 415.71
  4. Step 4: Simplify right side
    681.19x = 390,825.60
  5. Step 5: Solve for x
    x = 390,825.60/681.19
  6. Step 6: Final answer
    x = 573.74

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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.