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Finding the Fourth Proportional to 602.87, 902.25 and 371.90

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Solution

The fourth proportional to 602.87, 902.25 and 371.90 is: 556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.87 : 902.25 = 371.90 : x
  2. Step 2: Convert to fraction form
    602.87/902.25 = 371.90/x
  3. Step 3: Cross multiply
    602.87x = 902.25 × 371.90
  4. Step 4: Simplify right side
    602.87x = 335,549.03
  5. Step 5: Solve for x
    x = 335,549.03/602.87
  6. Step 6: Final answer
    x = 556.59

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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.