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Finding the Fourth Proportional to 1,093.15, 1,640.40 and 443.89

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Solution

The fourth proportional to 1,093.15, 1,640.40 and 443.89 is: 666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.15 : 1,640.40 = 443.89 : x
  2. Step 2: Convert to fraction form
    1,093.15/1,640.40 = 443.89/x
  3. Step 3: Cross multiply
    1,093.15x = 1,640.40 × 443.89
  4. Step 4: Simplify right side
    1,093.15x = 728,148.95
  5. Step 5: Solve for x
    x = 728,148.95/1,093.15
  6. Step 6: Final answer
    x = 666.10

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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.