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Finding the Fourth Proportional to 682.28, 940.42 and 515.72

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Solution

The fourth proportional to 682.28, 940.42 and 515.72 is: 710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.28 : 940.42 = 515.72 : x
  2. Step 2: Convert to fraction form
    682.28/940.42 = 515.72/x
  3. Step 3: Cross multiply
    682.28x = 940.42 × 515.72
  4. Step 4: Simplify right side
    682.28x = 484,993.40
  5. Step 5: Solve for x
    x = 484,993.40/682.28
  6. Step 6: Final answer
    x = 710.84

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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.