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Finding the Fourth Proportional to 682.43, 942.03 and 540.88

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Solution

The fourth proportional to 682.43, 942.03 and 540.88 is: 746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.43 : 942.03 = 540.88 : x
  2. Step 2: Convert to fraction form
    682.43/942.03 = 540.88/x
  3. Step 3: Cross multiply
    682.43x = 942.03 × 540.88
  4. Step 4: Simplify right side
    682.43x = 509,522.83
  5. Step 5: Solve for x
    x = 509,522.83/682.43
  6. Step 6: Final answer
    x = 746.64

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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.