Home / 1,002.09-1,382.99-582.57

Finding the Fourth Proportional to 1,002.09, 1,382.99 and 582.57

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Solution

The fourth proportional to 1,002.09, 1,382.99 and 582.57 is: 804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.09 : 1,382.99 = 582.57 : x
  2. Step 2: Convert to fraction form
    1,002.09/1,382.99 = 582.57/x
  3. Step 3: Cross multiply
    1,002.09x = 1,382.99 × 582.57
  4. Step 4: Simplify right side
    1,002.09x = 805,685.57
  5. Step 5: Solve for x
    x = 805,685.57/1,002.09
  6. Step 6: Final answer
    x = 804.01

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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.