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Finding the Fourth Proportional to 1,089.09, 1,633.64 and 319.59

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Solution

The fourth proportional to 1,089.09, 1,633.64 and 319.59 is: 479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.09 : 1,633.64 = 319.59 : x
  2. Step 2: Convert to fraction form
    1,089.09/1,633.64 = 319.59/x
  3. Step 3: Cross multiply
    1,089.09x = 1,633.64 × 319.59
  4. Step 4: Simplify right side
    1,089.09x = 522,093.41
  5. Step 5: Solve for x
    x = 522,093.41/1,089.09
  6. Step 6: Final answer
    x = 479.39

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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.