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Finding the Fourth Proportional to 414.47, 618.86 and 353.57

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Solution

The fourth proportional to 414.47, 618.86 and 353.57 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.47 : 618.86 = 353.57 : x
  2. Step 2: Convert to fraction form
    414.47/618.86 = 353.57/x
  3. Step 3: Cross multiply
    414.47x = 618.86 × 353.57
  4. Step 4: Simplify right side
    414.47x = 218,810.33
  5. Step 5: Solve for x
    x = 218,810.33/414.47
  6. Step 6: Final answer
    x = 527.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.