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Finding the Fourth Proportional to 1,918.23, 2,877.72 and 685.61

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Solution

The fourth proportional to 1,918.23, 2,877.72 and 685.61 is: 1,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.23 : 2,877.72 = 685.61 : x
  2. Step 2: Convert to fraction form
    1,918.23/2,877.72 = 685.61/x
  3. Step 3: Cross multiply
    1,918.23x = 2,877.72 × 685.61
  4. Step 4: Simplify right side
    1,918.23x = 1,972,979.22
  5. Step 5: Solve for x
    x = 1,972,979.22/1,918.23
  6. Step 6: Final answer
    x = 1,028.54

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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.