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Finding the Fourth Proportional to 682.28, 941.64 and 416.94

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Solution

The fourth proportional to 682.28, 941.64 and 416.94 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.28 : 941.64 = 416.94 : x
  2. Step 2: Convert to fraction form
    682.28/941.64 = 416.94/x
  3. Step 3: Cross multiply
    682.28x = 941.64 × 416.94
  4. Step 4: Simplify right side
    682.28x = 392,607.38
  5. Step 5: Solve for x
    x = 392,607.38/682.28
  6. Step 6: Final answer
    x = 575.43

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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.