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Finding the Fourth Proportional to 682.64, 1,023.76 and 271.64

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Solution

The fourth proportional to 682.64, 1,023.76 and 271.64 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.64 : 1,023.76 = 271.64 : x
  2. Step 2: Convert to fraction form
    682.64/1,023.76 = 271.64/x
  3. Step 3: Cross multiply
    682.64x = 1,023.76 × 271.64
  4. Step 4: Simplify right side
    682.64x = 278,094.17
  5. Step 5: Solve for x
    x = 278,094.17/682.64
  6. Step 6: Final answer
    x = 407.38

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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.