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Finding the Fourth Proportional to 682.07, 938.57 and 663.93

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Solution

The fourth proportional to 682.07, 938.57 and 663.93 is: 913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 938.57 = 663.93 : x
  2. Step 2: Convert to fraction form
    682.07/938.57 = 663.93/x
  3. Step 3: Cross multiply
    682.07x = 938.57 × 663.93
  4. Step 4: Simplify right side
    682.07x = 623,141.46
  5. Step 5: Solve for x
    x = 623,141.46/682.07
  6. Step 6: Final answer
    x = 913.61

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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.