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Finding the Fourth Proportional to 1,202.50, 1,659.49 and 736.66

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Solution

The fourth proportional to 1,202.50, 1,659.49 and 736.66 is: 1,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.50 : 1,659.49 = 736.66 : x
  2. Step 2: Convert to fraction form
    1,202.50/1,659.49 = 736.66/x
  3. Step 3: Cross multiply
    1,202.50x = 1,659.49 × 736.66
  4. Step 4: Simplify right side
    1,202.50x = 1,222,479.90
  5. Step 5: Solve for x
    x = 1,222,479.90/1,202.50
  6. Step 6: Final answer
    x = 1,016.62

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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.