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Finding the Fourth Proportional to 682.68, 1,024.20 and 266.22

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Solution

The fourth proportional to 682.68, 1,024.20 and 266.22 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 1,024.20 = 266.22 : x
  2. Step 2: Convert to fraction form
    682.68/1,024.20 = 266.22/x
  3. Step 3: Cross multiply
    682.68x = 1,024.20 × 266.22
  4. Step 4: Simplify right side
    682.68x = 272,662.52
  5. Step 5: Solve for x
    x = 272,662.52/682.68
  6. Step 6: Final answer
    x = 399.40

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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.