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Finding the Fourth Proportional to 682.38, 1,024.17 and 477.11

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Solution

The fourth proportional to 682.38, 1,024.17 and 477.11 is: 716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,024.17 = 477.11 : x
  2. Step 2: Convert to fraction form
    682.38/1,024.17 = 477.11/x
  3. Step 3: Cross multiply
    682.38x = 1,024.17 × 477.11
  4. Step 4: Simplify right side
    682.38x = 488,636.63
  5. Step 5: Solve for x
    x = 488,636.63/682.38
  6. Step 6: Final answer
    x = 716.08

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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.