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Finding the Fourth Proportional to 1,029.79, 1,419.74 and 889.61

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Solution

The fourth proportional to 1,029.79, 1,419.74 and 889.61 is: 1,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.79 : 1,419.74 = 889.61 : x
  2. Step 2: Convert to fraction form
    1,029.79/1,419.74 = 889.61/x
  3. Step 3: Cross multiply
    1,029.79x = 1,419.74 × 889.61
  4. Step 4: Simplify right side
    1,029.79x = 1,263,014.90
  5. Step 5: Solve for x
    x = 1,263,014.90/1,029.79
  6. Step 6: Final answer
    x = 1,226.48

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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.