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Finding the Fourth Proportional to 1,202.21, 1,802.24 and 472.30

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Solution

The fourth proportional to 1,202.21, 1,802.24 and 472.30 is: 708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.21 : 1,802.24 = 472.30 : x
  2. Step 2: Convert to fraction form
    1,202.21/1,802.24 = 472.30/x
  3. Step 3: Cross multiply
    1,202.21x = 1,802.24 × 472.30
  4. Step 4: Simplify right side
    1,202.21x = 851,197.95
  5. Step 5: Solve for x
    x = 851,197.95/1,202.21
  6. Step 6: Final answer
    x = 708.03

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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.