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Finding the Fourth Proportional to 1,094.51, 1,641.77 and 445.31

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Solution

The fourth proportional to 1,094.51, 1,641.77 and 445.31 is: 667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.51 : 1,641.77 = 445.31 : x
  2. Step 2: Convert to fraction form
    1,094.51/1,641.77 = 445.31/x
  3. Step 3: Cross multiply
    1,094.51x = 1,641.77 × 445.31
  4. Step 4: Simplify right side
    1,094.51x = 731,096.60
  5. Step 5: Solve for x
    x = 731,096.60/1,094.51
  6. Step 6: Final answer
    x = 667.97

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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.