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Finding the Fourth Proportional to 1,685.90, 2,326.44 and 939.82

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Solution

The fourth proportional to 1,685.90, 2,326.44 and 939.82 is: 1,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.90 : 2,326.44 = 939.82 : x
  2. Step 2: Convert to fraction form
    1,685.90/2,326.44 = 939.82/x
  3. Step 3: Cross multiply
    1,685.90x = 2,326.44 × 939.82
  4. Step 4: Simplify right side
    1,685.90x = 2,186,434.84
  5. Step 5: Solve for x
    x = 2,186,434.84/1,685.90
  6. Step 6: Final answer
    x = 1,296.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.