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Finding the Fourth Proportional to 942.44, 1,411.77 and 449.33

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Solution

The fourth proportional to 942.44, 1,411.77 and 449.33 is: 673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.44 : 1,411.77 = 449.33 : x
  2. Step 2: Convert to fraction form
    942.44/1,411.77 = 449.33/x
  3. Step 3: Cross multiply
    942.44x = 1,411.77 × 449.33
  4. Step 4: Simplify right side
    942.44x = 634,347.65
  5. Step 5: Solve for x
    x = 634,347.65/942.44
  6. Step 6: Final answer
    x = 673.09

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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.