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Finding the Fourth Proportional to 682.18, 941.69 and 461.79

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Solution

The fourth proportional to 682.18, 941.69 and 461.79 is: 637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.18 : 941.69 = 461.79 : x
  2. Step 2: Convert to fraction form
    682.18/941.69 = 461.79/x
  3. Step 3: Cross multiply
    682.18x = 941.69 × 461.79
  4. Step 4: Simplify right side
    682.18x = 434,864.18
  5. Step 5: Solve for x
    x = 434,864.18/682.18
  6. Step 6: Final answer
    x = 637.46

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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.