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Finding the Fourth Proportional to 1,089.91, 1,635.14 and 440.64

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Solution

The fourth proportional to 1,089.91, 1,635.14 and 440.64 is: 661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.91 : 1,635.14 = 440.64 : x
  2. Step 2: Convert to fraction form
    1,089.91/1,635.14 = 440.64/x
  3. Step 3: Cross multiply
    1,089.91x = 1,635.14 × 440.64
  4. Step 4: Simplify right side
    1,089.91x = 720,508.09
  5. Step 5: Solve for x
    x = 720,508.09/1,089.91
  6. Step 6: Final answer
    x = 661.07

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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.