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Finding the Fourth Proportional to 682.71, 1,023.98 and 189.15

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Solution

The fourth proportional to 682.71, 1,023.98 and 189.15 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 1,023.98 = 189.15 : x
  2. Step 2: Convert to fraction form
    682.71/1,023.98 = 189.15/x
  3. Step 3: Cross multiply
    682.71x = 1,023.98 × 189.15
  4. Step 4: Simplify right side
    682.71x = 193,685.94
  5. Step 5: Solve for x
    x = 193,685.94/682.71
  6. Step 6: Final answer
    x = 283.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.