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Finding the Fourth Proportional to 2,089.65, 3,134.49 and 628.80

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Solution

The fourth proportional to 2,089.65, 3,134.49 and 628.80 is: 943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.65 : 3,134.49 = 628.80 : x
  2. Step 2: Convert to fraction form
    2,089.65/3,134.49 = 628.80/x
  3. Step 3: Cross multiply
    2,089.65x = 3,134.49 × 628.80
  4. Step 4: Simplify right side
    2,089.65x = 1,970,967.31
  5. Step 5: Solve for x
    x = 1,970,967.31/2,089.65
  6. Step 6: Final answer
    x = 943.20

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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.