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Finding the Fourth Proportional to 682.03, 941.14 and 387.31

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Solution

The fourth proportional to 682.03, 941.14 and 387.31 is: 534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 941.14 = 387.31 : x
  2. Step 2: Convert to fraction form
    682.03/941.14 = 387.31/x
  3. Step 3: Cross multiply
    682.03x = 941.14 × 387.31
  4. Step 4: Simplify right side
    682.03x = 364,512.93
  5. Step 5: Solve for x
    x = 364,512.93/682.03
  6. Step 6: Final answer
    x = 534.45

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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.