Home / 1,002.26-1,382.32-629.12

Finding the Fourth Proportional to 1,002.26, 1,382.32 and 629.12

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Solution

The fourth proportional to 1,002.26, 1,382.32 and 629.12 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.26 : 1,382.32 = 629.12 : x
  2. Step 2: Convert to fraction form
    1,002.26/1,382.32 = 629.12/x
  3. Step 3: Cross multiply
    1,002.26x = 1,382.32 × 629.12
  4. Step 4: Simplify right side
    1,002.26x = 869,645.16
  5. Step 5: Solve for x
    x = 869,645.16/1,002.26
  6. Step 6: Final answer
    x = 867.68

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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.