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Finding the Fourth Proportional to 415.52, 620.29 and 388.22

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Solution

The fourth proportional to 415.52, 620.29 and 388.22 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 620.29 = 388.22 : x
  2. Step 2: Convert to fraction form
    415.52/620.29 = 388.22/x
  3. Step 3: Cross multiply
    415.52x = 620.29 × 388.22
  4. Step 4: Simplify right side
    415.52x = 240,808.98
  5. Step 5: Solve for x
    x = 240,808.98/415.52
  6. Step 6: Final answer
    x = 579.54

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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.