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Finding the Fourth Proportional to 1,204.95, 1,662.57 and 906.51

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Solution

The fourth proportional to 1,204.95, 1,662.57 and 906.51 is: 1,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.95 : 1,662.57 = 906.51 : x
  2. Step 2: Convert to fraction form
    1,204.95/1,662.57 = 906.51/x
  3. Step 3: Cross multiply
    1,204.95x = 1,662.57 × 906.51
  4. Step 4: Simplify right side
    1,204.95x = 1,507,136.33
  5. Step 5: Solve for x
    x = 1,507,136.33/1,204.95
  6. Step 6: Final answer
    x = 1,250.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.