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Finding the Fourth Proportional to 1,203.39, 1,661.22 and 810.63

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Solution

The fourth proportional to 1,203.39, 1,661.22 and 810.63 is: 1,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.39 : 1,661.22 = 810.63 : x
  2. Step 2: Convert to fraction form
    1,203.39/1,661.22 = 810.63/x
  3. Step 3: Cross multiply
    1,203.39x = 1,661.22 × 810.63
  4. Step 4: Simplify right side
    1,203.39x = 1,346,634.77
  5. Step 5: Solve for x
    x = 1,346,634.77/1,203.39
  6. Step 6: Final answer
    x = 1,119.03

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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.