Home / 1,057.10-1,584.30-768.20

Finding the Fourth Proportional to 1,057.10, 1,584.30 and 768.20

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Solution

The fourth proportional to 1,057.10, 1,584.30 and 768.20 is: 1,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.10 : 1,584.30 = 768.20 : x
  2. Step 2: Convert to fraction form
    1,057.10/1,584.30 = 768.20/x
  3. Step 3: Cross multiply
    1,057.10x = 1,584.30 × 768.20
  4. Step 4: Simplify right side
    1,057.10x = 1,217,059.26
  5. Step 5: Solve for x
    x = 1,217,059.26/1,057.10
  6. Step 6: Final answer
    x = 1,151.32

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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.