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Finding the Fourth Proportional to 680.12, 938.59 and 418.22

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Solution

The fourth proportional to 680.12, 938.59 and 418.22 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.12 : 938.59 = 418.22 : x
  2. Step 2: Convert to fraction form
    680.12/938.59 = 418.22/x
  3. Step 3: Cross multiply
    680.12x = 938.59 × 418.22
  4. Step 4: Simplify right side
    680.12x = 392,537.11
  5. Step 5: Solve for x
    x = 392,537.11/680.12
  6. Step 6: Final answer
    x = 577.16

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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.