Home / 1,189.28-1,637.79-857.18

Finding the Fourth Proportional to 1,189.28, 1,637.79 and 857.18

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Solution

The fourth proportional to 1,189.28, 1,637.79 and 857.18 is: 1,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.28 : 1,637.79 = 857.18 : x
  2. Step 2: Convert to fraction form
    1,189.28/1,637.79 = 857.18/x
  3. Step 3: Cross multiply
    1,189.28x = 1,637.79 × 857.18
  4. Step 4: Simplify right side
    1,189.28x = 1,403,872.64
  5. Step 5: Solve for x
    x = 1,403,872.64/1,189.28
  6. Step 6: Final answer
    x = 1,180.44

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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.