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Finding the Fourth Proportional to 682.08, 941.10 and 472.68

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Solution

The fourth proportional to 682.08, 941.10 and 472.68 is: 652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.08 : 941.10 = 472.68 : x
  2. Step 2: Convert to fraction form
    682.08/941.10 = 472.68/x
  3. Step 3: Cross multiply
    682.08x = 941.10 × 472.68
  4. Step 4: Simplify right side
    682.08x = 444,839.15
  5. Step 5: Solve for x
    x = 444,839.15/682.08
  6. Step 6: Final answer
    x = 652.18

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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.