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Finding the Fourth Proportional to 415.26, 618.39 and 397.51

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Solution

The fourth proportional to 415.26, 618.39 and 397.51 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 618.39 = 397.51 : x
  2. Step 2: Convert to fraction form
    415.26/618.39 = 397.51/x
  3. Step 3: Cross multiply
    415.26x = 618.39 × 397.51
  4. Step 4: Simplify right side
    415.26x = 245,814.66
  5. Step 5: Solve for x
    x = 245,814.66/415.26
  6. Step 6: Final answer
    x = 591.95

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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.