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Finding the Fourth Proportional to 1,089.30, 1,634.43 and 441.30

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Solution

The fourth proportional to 1,089.30, 1,634.43 and 441.30 is: 662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.30 : 1,634.43 = 441.30 : x
  2. Step 2: Convert to fraction form
    1,089.30/1,634.43 = 441.30/x
  3. Step 3: Cross multiply
    1,089.30x = 1,634.43 × 441.30
  4. Step 4: Simplify right side
    1,089.30x = 721,273.96
  5. Step 5: Solve for x
    x = 721,273.96/1,089.30
  6. Step 6: Final answer
    x = 662.14

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Double scale
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1.5x scale

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.