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Finding the Fourth Proportional to 886.23, 1,329.89 and 453.33

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Solution

The fourth proportional to 886.23, 1,329.89 and 453.33 is: 680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,329.89 = 453.33 : x
  2. Step 2: Convert to fraction form
    886.23/1,329.89 = 453.33/x
  3. Step 3: Cross multiply
    886.23x = 1,329.89 × 453.33
  4. Step 4: Simplify right side
    886.23x = 602,879.03
  5. Step 5: Solve for x
    x = 602,879.03/886.23
  6. Step 6: Final answer
    x = 680.27

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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.