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Finding the Fourth Proportional to 682.15, 941.35 and 387.43

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Solution

The fourth proportional to 682.15, 941.35 and 387.43 is: 534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.15 : 941.35 = 387.43 : x
  2. Step 2: Convert to fraction form
    682.15/941.35 = 387.43/x
  3. Step 3: Cross multiply
    682.15x = 941.35 × 387.43
  4. Step 4: Simplify right side
    682.15x = 364,707.23
  5. Step 5: Solve for x
    x = 364,707.23/682.15
  6. Step 6: Final answer
    x = 534.64

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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.