Home / 1,039.13-1,434.30-829.23

Finding the Fourth Proportional to 1,039.13, 1,434.30 and 829.23

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Solution

The fourth proportional to 1,039.13, 1,434.30 and 829.23 is: 1,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.13 : 1,434.30 = 829.23 : x
  2. Step 2: Convert to fraction form
    1,039.13/1,434.30 = 829.23/x
  3. Step 3: Cross multiply
    1,039.13x = 1,434.30 × 829.23
  4. Step 4: Simplify right side
    1,039.13x = 1,189,364.59
  5. Step 5: Solve for x
    x = 1,189,364.59/1,039.13
  6. Step 6: Final answer
    x = 1,144.58

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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.