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Finding the Fourth Proportional to 680.09, 938.25 and 417.65

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Solution

The fourth proportional to 680.09, 938.25 and 417.65 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.09 : 938.25 = 417.65 : x
  2. Step 2: Convert to fraction form
    680.09/938.25 = 417.65/x
  3. Step 3: Cross multiply
    680.09x = 938.25 × 417.65
  4. Step 4: Simplify right side
    680.09x = 391,855.42
  5. Step 5: Solve for x
    x = 391,855.42/680.09
  6. Step 6: Final answer
    x = 576.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.