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Finding the Fourth Proportional to 682.68, 1,024.50 and 271.74

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Solution

The fourth proportional to 682.68, 1,024.50 and 271.74 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 1,024.50 = 271.74 : x
  2. Step 2: Convert to fraction form
    682.68/1,024.50 = 271.74/x
  3. Step 3: Cross multiply
    682.68x = 1,024.50 × 271.74
  4. Step 4: Simplify right side
    682.68x = 278,397.63
  5. Step 5: Solve for x
    x = 278,397.63/682.68
  6. Step 6: Final answer
    x = 407.80

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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.