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Finding the Fourth Proportional to 1,604.73, 2,403.31 and 1,255.62

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Solution

The fourth proportional to 1,604.73, 2,403.31 and 1,255.62 is: 1,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.73 : 2,403.31 = 1,255.62 : x
  2. Step 2: Convert to fraction form
    1,604.73/2,403.31 = 1,255.62/x
  3. Step 3: Cross multiply
    1,604.73x = 2,403.31 × 1,255.62
  4. Step 4: Simplify right side
    1,604.73x = 3,017,644.10
  5. Step 5: Solve for x
    x = 3,017,644.10/1,604.73
  6. Step 6: Final answer
    x = 1,880.47

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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.