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Finding the Fourth Proportional to 1,012.13, 1,396.74 and 619.23

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Solution

The fourth proportional to 1,012.13, 1,396.74 and 619.23 is: 854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.13 : 1,396.74 = 619.23 : x
  2. Step 2: Convert to fraction form
    1,012.13/1,396.74 = 619.23/x
  3. Step 3: Cross multiply
    1,012.13x = 1,396.74 × 619.23
  4. Step 4: Simplify right side
    1,012.13x = 864,903.31
  5. Step 5: Solve for x
    x = 864,903.31/1,012.13
  6. Step 6: Final answer
    x = 854.54

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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.