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Finding the Fourth Proportional to 1,255.63, 1,882.22 and 606.01

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Solution

The fourth proportional to 1,255.63, 1,882.22 and 606.01 is: 908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.63 : 1,882.22 = 606.01 : x
  2. Step 2: Convert to fraction form
    1,255.63/1,882.22 = 606.01/x
  3. Step 3: Cross multiply
    1,255.63x = 1,882.22 × 606.01
  4. Step 4: Simplify right side
    1,255.63x = 1,140,644.14
  5. Step 5: Solve for x
    x = 1,140,644.14/1,255.63
  6. Step 6: Final answer
    x = 908.42

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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.