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Finding the Fourth Proportional to 1,204.49, 1,661.55 and 811.64

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Solution

The fourth proportional to 1,204.49, 1,661.55 and 811.64 is: 1,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.49 : 1,661.55 = 811.64 : x
  2. Step 2: Convert to fraction form
    1,204.49/1,661.55 = 811.64/x
  3. Step 3: Cross multiply
    1,204.49x = 1,661.55 × 811.64
  4. Step 4: Simplify right side
    1,204.49x = 1,348,572.13
  5. Step 5: Solve for x
    x = 1,348,572.13/1,204.49
  6. Step 6: Final answer
    x = 1,119.63

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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.