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Finding the Fourth Proportional to 1,089.35, 1,636.54 and 628.26

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Solution

The fourth proportional to 1,089.35, 1,636.54 and 628.26 is: 943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.35 : 1,636.54 = 628.26 : x
  2. Step 2: Convert to fraction form
    1,089.35/1,636.54 = 628.26/x
  3. Step 3: Cross multiply
    1,089.35x = 1,636.54 × 628.26
  4. Step 4: Simplify right side
    1,089.35x = 1,028,164.91
  5. Step 5: Solve for x
    x = 1,028,164.91/1,089.35
  6. Step 6: Final answer
    x = 943.83

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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.