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Finding the Fourth Proportional to 1,204.69, 1,805.56 and 685.13

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Solution

The fourth proportional to 1,204.69, 1,805.56 and 685.13 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.69 : 1,805.56 = 685.13 : x
  2. Step 2: Convert to fraction form
    1,204.69/1,805.56 = 685.13/x
  3. Step 3: Cross multiply
    1,204.69x = 1,805.56 × 685.13
  4. Step 4: Simplify right side
    1,204.69x = 1,237,030.87
  5. Step 5: Solve for x
    x = 1,237,030.87/1,204.69
  6. Step 6: Final answer
    x = 1,026.85

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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.