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Finding the Fourth Proportional to 1,202.25, 1,804.14 and 471.81

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Solution

The fourth proportional to 1,202.25, 1,804.14 and 471.81 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.25 : 1,804.14 = 471.81 : x
  2. Step 2: Convert to fraction form
    1,202.25/1,804.14 = 471.81/x
  3. Step 3: Cross multiply
    1,202.25x = 1,804.14 × 471.81
  4. Step 4: Simplify right side
    1,202.25x = 851,215.80
  5. Step 5: Solve for x
    x = 851,215.80/1,202.25
  6. Step 6: Final answer
    x = 708.02

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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.