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Finding the Fourth Proportional to 602.82, 903 and 277.20

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Solution

The fourth proportional to 602.82, 903 and 277.20 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 903 = 277.20 : x
  2. Step 2: Convert to fraction form
    602.82/903 = 277.20/x
  3. Step 3: Cross multiply
    602.82x = 903 × 277.20
  4. Step 4: Simplify right side
    602.82x = 250,311.60
  5. Step 5: Solve for x
    x = 250,311.60/602.82
  6. Step 6: Final answer
    x = 415.23

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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.