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Finding the Fourth Proportional to 415.33, 573.62 and 375.98

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Solution

The fourth proportional to 415.33, 573.62 and 375.98 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.33 : 573.62 = 375.98 : x
  2. Step 2: Convert to fraction form
    415.33/573.62 = 375.98/x
  3. Step 3: Cross multiply
    415.33x = 573.62 × 375.98
  4. Step 4: Simplify right side
    415.33x = 215,664.90
  5. Step 5: Solve for x
    x = 215,664.90/415.33
  6. Step 6: Final answer
    x = 519.26

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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.