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Finding the Fourth Proportional to 682.64, 1,024.36 and 271.84

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Solution

The fourth proportional to 682.64, 1,024.36 and 271.84 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.64 : 1,024.36 = 271.84 : x
  2. Step 2: Convert to fraction form
    682.64/1,024.36 = 271.84/x
  3. Step 3: Cross multiply
    682.64x = 1,024.36 × 271.84
  4. Step 4: Simplify right side
    682.64x = 278,462.02
  5. Step 5: Solve for x
    x = 278,462.02/682.64
  6. Step 6: Final answer
    x = 407.92

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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.