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Finding the Fourth Proportional to 682.09, 941.15 and 471.92

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Solution

The fourth proportional to 682.09, 941.15 and 471.92 is: 651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.09 : 941.15 = 471.92 : x
  2. Step 2: Convert to fraction form
    682.09/941.15 = 471.92/x
  3. Step 3: Cross multiply
    682.09x = 941.15 × 471.92
  4. Step 4: Simplify right side
    682.09x = 444,145.15
  5. Step 5: Solve for x
    x = 444,145.15/682.09
  6. Step 6: Final answer
    x = 651.16

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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.