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Finding the Fourth Proportional to 419.22, 573.98 and 415.26

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Solution

The fourth proportional to 419.22, 573.98 and 415.26 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 573.98 = 415.26 : x
  2. Step 2: Convert to fraction form
    419.22/573.98 = 415.26/x
  3. Step 3: Cross multiply
    419.22x = 573.98 × 415.26
  4. Step 4: Simplify right side
    419.22x = 238,348.86
  5. Step 5: Solve for x
    x = 238,348.86/419.22
  6. Step 6: Final answer
    x = 568.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.