Home / 1,028.11-1,418.80-580.00

Finding the Fourth Proportional to 1,028.11, 1,418.80 and 580.00

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Solution

The fourth proportional to 1,028.11, 1,418.80 and 580.00 is: 800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.11 : 1,418.80 = 580.00 : x
  2. Step 2: Convert to fraction form
    1,028.11/1,418.80 = 580.00/x
  3. Step 3: Cross multiply
    1,028.11x = 1,418.80 × 580.00
  4. Step 4: Simplify right side
    1,028.11x = 822,903.86
  5. Step 5: Solve for x
    x = 822,903.86/1,028.11
  6. Step 6: Final answer
    x = 800.41

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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.