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Finding the Fourth Proportional to 1,402.95, 1,936.44 and 843.45

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Solution

The fourth proportional to 1,402.95, 1,936.44 and 843.45 is: 1,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.95 : 1,936.44 = 843.45 : x
  2. Step 2: Convert to fraction form
    1,402.95/1,936.44 = 843.45/x
  3. Step 3: Cross multiply
    1,402.95x = 1,936.44 × 843.45
  4. Step 4: Simplify right side
    1,402.95x = 1,633,290.32
  5. Step 5: Solve for x
    x = 1,633,290.32/1,402.95
  6. Step 6: Final answer
    x = 1,164.18

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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.