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Finding the Fourth Proportional to 1,133.22, 1,698.64 and 439.70

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Solution

The fourth proportional to 1,133.22, 1,698.64 and 439.70 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.22 : 1,698.64 = 439.70 : x
  2. Step 2: Convert to fraction form
    1,133.22/1,698.64 = 439.70/x
  3. Step 3: Cross multiply
    1,133.22x = 1,698.64 × 439.70
  4. Step 4: Simplify right side
    1,133.22x = 746,892.01
  5. Step 5: Solve for x
    x = 746,892.01/1,133.22
  6. Step 6: Final answer
    x = 659.09

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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.