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Finding the Fourth Proportional to 682.03, 940.84 and 515.95

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Solution

The fourth proportional to 682.03, 940.84 and 515.95 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 940.84 = 515.95 : x
  2. Step 2: Convert to fraction form
    682.03/940.84 = 515.95/x
  3. Step 3: Cross multiply
    682.03x = 940.84 × 515.95
  4. Step 4: Simplify right side
    682.03x = 485,426.40
  5. Step 5: Solve for x
    x = 485,426.40/682.03
  6. Step 6: Final answer
    x = 711.74

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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.