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Finding the Fourth Proportional to 602.10, 903.15 and 419.85

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Solution

The fourth proportional to 602.10, 903.15 and 419.85 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 903.15 = 419.85 : x
  2. Step 2: Convert to fraction form
    602.10/903.15 = 419.85/x
  3. Step 3: Cross multiply
    602.10x = 903.15 × 419.85
  4. Step 4: Simplify right side
    602.10x = 379,187.53
  5. Step 5: Solve for x
    x = 379,187.53/602.10
  6. Step 6: Final answer
    x = 629.78

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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.