Home / 1,012.20-1,396.90-570.14

Finding the Fourth Proportional to 1,012.20, 1,396.90 and 570.14

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Solution

The fourth proportional to 1,012.20, 1,396.90 and 570.14 is: 786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.20 : 1,396.90 = 570.14 : x
  2. Step 2: Convert to fraction form
    1,012.20/1,396.90 = 570.14/x
  3. Step 3: Cross multiply
    1,012.20x = 1,396.90 × 570.14
  4. Step 4: Simplify right side
    1,012.20x = 796,428.57
  5. Step 5: Solve for x
    x = 796,428.57/1,012.20
  6. Step 6: Final answer
    x = 786.83

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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.