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Finding the Fourth Proportional to 1,332.62, 1,999.38 and 1,203.22

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Solution

The fourth proportional to 1,332.62, 1,999.38 and 1,203.22 is: 1,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.62 : 1,999.38 = 1,203.22 : x
  2. Step 2: Convert to fraction form
    1,332.62/1,999.38 = 1,203.22/x
  3. Step 3: Cross multiply
    1,332.62x = 1,999.38 × 1,203.22
  4. Step 4: Simplify right side
    1,332.62x = 2,405,701.01
  5. Step 5: Solve for x
    x = 2,405,701.01/1,332.62
  6. Step 6: Final answer
    x = 1,805.24

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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.