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Finding the Fourth Proportional to 1,028.26, 1,541.94 and 926.51

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Solution

The fourth proportional to 1,028.26, 1,541.94 and 926.51 is: 1,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.26 : 1,541.94 = 926.51 : x
  2. Step 2: Convert to fraction form
    1,028.26/1,541.94 = 926.51/x
  3. Step 3: Cross multiply
    1,028.26x = 1,541.94 × 926.51
  4. Step 4: Simplify right side
    1,028.26x = 1,428,611.65
  5. Step 5: Solve for x
    x = 1,428,611.65/1,028.26
  6. Step 6: Final answer
    x = 1,389.35

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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.