Home / 1,029.80-1,541.10-720.20

Finding the Fourth Proportional to 1,029.80, 1,541.10 and 720.20

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Solution

The fourth proportional to 1,029.80, 1,541.10 and 720.20 is: 1,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.80 : 1,541.10 = 720.20 : x
  2. Step 2: Convert to fraction form
    1,029.80/1,541.10 = 720.20/x
  3. Step 3: Cross multiply
    1,029.80x = 1,541.10 × 720.20
  4. Step 4: Simplify right side
    1,029.80x = 1,109,900.22
  5. Step 5: Solve for x
    x = 1,109,900.22/1,029.80
  6. Step 6: Final answer
    x = 1,077.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.