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Finding the Fourth Proportional to 1,093.71, 1,641.34 and 989.15

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Solution

The fourth proportional to 1,093.71, 1,641.34 and 989.15 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.71 : 1,641.34 = 989.15 : x
  2. Step 2: Convert to fraction form
    1,093.71/1,641.34 = 989.15/x
  3. Step 3: Cross multiply
    1,093.71x = 1,641.34 × 989.15
  4. Step 4: Simplify right side
    1,093.71x = 1,623,520.57
  5. Step 5: Solve for x
    x = 1,623,520.57/1,093.71
  6. Step 6: Final answer
    x = 1,484.41

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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.