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Finding the Fourth Proportional to 602.22, 903.87 and 419.75

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Solution

The fourth proportional to 602.22, 903.87 and 419.75 is: 629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.22 : 903.87 = 419.75 : x
  2. Step 2: Convert to fraction form
    602.22/903.87 = 419.75/x
  3. Step 3: Cross multiply
    602.22x = 903.87 × 419.75
  4. Step 4: Simplify right side
    602.22x = 379,394.91
  5. Step 5: Solve for x
    x = 379,394.91/602.22
  6. Step 6: Final answer
    x = 629.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.