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Finding the Fourth Proportional to 1,089.90, 1,633.91 and 440.19

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Solution

The fourth proportional to 1,089.90, 1,633.91 and 440.19 is: 659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.90 : 1,633.91 = 440.19 : x
  2. Step 2: Convert to fraction form
    1,089.90/1,633.91 = 440.19/x
  3. Step 3: Cross multiply
    1,089.90x = 1,633.91 × 440.19
  4. Step 4: Simplify right side
    1,089.90x = 719,228.64
  5. Step 5: Solve for x
    x = 719,228.64/1,089.90
  6. Step 6: Final answer
    x = 659.90

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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.