Home / 1,036.33-1,431.68-839.50

Finding the Fourth Proportional to 1,036.33, 1,431.68 and 839.50

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Solution

The fourth proportional to 1,036.33, 1,431.68 and 839.50 is: 1,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.33 : 1,431.68 = 839.50 : x
  2. Step 2: Convert to fraction form
    1,036.33/1,431.68 = 839.50/x
  3. Step 3: Cross multiply
    1,036.33x = 1,431.68 × 839.50
  4. Step 4: Simplify right side
    1,036.33x = 1,201,887.58
  5. Step 5: Solve for x
    x = 1,201,887.58/1,036.33
  6. Step 6: Final answer
    x = 1,159.76

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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.