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Finding the Fourth Proportional to 1,138.89, 1,570.14 and 889.23

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Solution

The fourth proportional to 1,138.89, 1,570.14 and 889.23 is: 1,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.89 : 1,570.14 = 889.23 : x
  2. Step 2: Convert to fraction form
    1,138.89/1,570.14 = 889.23/x
  3. Step 3: Cross multiply
    1,138.89x = 1,570.14 × 889.23
  4. Step 4: Simplify right side
    1,138.89x = 1,396,215.59
  5. Step 5: Solve for x
    x = 1,396,215.59/1,138.89
  6. Step 6: Final answer
    x = 1,225.94

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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.