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Finding the Fourth Proportional to 682.53, 943.14 and 648.81

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Solution

The fourth proportional to 682.53, 943.14 and 648.81 is: 896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.53 : 943.14 = 648.81 : x
  2. Step 2: Convert to fraction form
    682.53/943.14 = 648.81/x
  3. Step 3: Cross multiply
    682.53x = 943.14 × 648.81
  4. Step 4: Simplify right side
    682.53x = 611,921.10
  5. Step 5: Solve for x
    x = 611,921.10/682.53
  6. Step 6: Final answer
    x = 896.55

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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.