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Finding the Fourth Proportional to 813.69, 1,220.72 and 448.29

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Solution

The fourth proportional to 813.69, 1,220.72 and 448.29 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.69 : 1,220.72 = 448.29 : x
  2. Step 2: Convert to fraction form
    813.69/1,220.72 = 448.29/x
  3. Step 3: Cross multiply
    813.69x = 1,220.72 × 448.29
  4. Step 4: Simplify right side
    813.69x = 547,239.62
  5. Step 5: Solve for x
    x = 547,239.62/813.69
  6. Step 6: Final answer
    x = 672.54

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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.