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Finding the Fourth Proportional to 682.09, 941.43 and 472.71

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Solution

The fourth proportional to 682.09, 941.43 and 472.71 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.09 : 941.43 = 472.71 : x
  2. Step 2: Convert to fraction form
    682.09/941.43 = 472.71/x
  3. Step 3: Cross multiply
    682.09x = 941.43 × 472.71
  4. Step 4: Simplify right side
    682.09x = 445,023.38
  5. Step 5: Solve for x
    x = 445,023.38/682.09
  6. Step 6: Final answer
    x = 652.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.