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Finding the Fourth Proportional to 684.65, 945.17 and 404.97

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Solution

The fourth proportional to 684.65, 945.17 and 404.97 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 945.17 = 404.97 : x
  2. Step 2: Convert to fraction form
    684.65/945.17 = 404.97/x
  3. Step 3: Cross multiply
    684.65x = 945.17 × 404.97
  4. Step 4: Simplify right side
    684.65x = 382,761.44
  5. Step 5: Solve for x
    x = 382,761.44/684.65
  6. Step 6: Final answer
    x = 559.06

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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.