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Finding the Fourth Proportional to 1,089.91, 1,635.07 and 359.54

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Solution

The fourth proportional to 1,089.91, 1,635.07 and 359.54 is: 539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.91 : 1,635.07 = 359.54 : x
  2. Step 2: Convert to fraction form
    1,089.91/1,635.07 = 359.54/x
  3. Step 3: Cross multiply
    1,089.91x = 1,635.07 × 359.54
  4. Step 4: Simplify right side
    1,089.91x = 587,873.07
  5. Step 5: Solve for x
    x = 587,873.07/1,089.91
  6. Step 6: Final answer
    x = 539.38

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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.