Home / 1,004.03-1,387.29-829.07

Finding the Fourth Proportional to 1,004.03, 1,387.29 and 829.07

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Solution

The fourth proportional to 1,004.03, 1,387.29 and 829.07 is: 1,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.03 : 1,387.29 = 829.07 : x
  2. Step 2: Convert to fraction form
    1,004.03/1,387.29 = 829.07/x
  3. Step 3: Cross multiply
    1,004.03x = 1,387.29 × 829.07
  4. Step 4: Simplify right side
    1,004.03x = 1,150,153.58
  5. Step 5: Solve for x
    x = 1,150,153.58/1,004.03
  6. Step 6: Final answer
    x = 1,145.54

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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.