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Finding the Fourth Proportional to 1,094.60, 1,641.90 and 445.16

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Solution

The fourth proportional to 1,094.60, 1,641.90 and 445.16 is: 667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.60 : 1,641.90 = 445.16 : x
  2. Step 2: Convert to fraction form
    1,094.60/1,641.90 = 445.16/x
  3. Step 3: Cross multiply
    1,094.60x = 1,641.90 × 445.16
  4. Step 4: Simplify right side
    1,094.60x = 730,908.20
  5. Step 5: Solve for x
    x = 730,908.20/1,094.60
  6. Step 6: Final answer
    x = 667.74

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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.