Home / 1,028.98-1,420.09-563.30

Finding the Fourth Proportional to 1,028.98, 1,420.09 and 563.30

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Solution

The fourth proportional to 1,028.98, 1,420.09 and 563.30 is: 777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.98 : 1,420.09 = 563.30 : x
  2. Step 2: Convert to fraction form
    1,028.98/1,420.09 = 563.30/x
  3. Step 3: Cross multiply
    1,028.98x = 1,420.09 × 563.30
  4. Step 4: Simplify right side
    1,028.98x = 799,936.70
  5. Step 5: Solve for x
    x = 799,936.70/1,028.98
  6. Step 6: Final answer
    x = 777.41

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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.