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Finding the Fourth Proportional to 853.93, 1,274.39 and 832.06

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Solution

The fourth proportional to 853.93, 1,274.39 and 832.06 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.93 : 1,274.39 = 832.06 : x
  2. Step 2: Convert to fraction form
    853.93/1,274.39 = 832.06/x
  3. Step 3: Cross multiply
    853.93x = 1,274.39 × 832.06
  4. Step 4: Simplify right side
    853.93x = 1,060,368.94
  5. Step 5: Solve for x
    x = 1,060,368.94/853.93
  6. Step 6: Final answer
    x = 1,241.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.