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Finding the Fourth Proportional to 942.22, 1,412.10 and 448.62

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Solution

The fourth proportional to 942.22, 1,412.10 and 448.62 is: 672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,412.10 = 448.62 : x
  2. Step 2: Convert to fraction form
    942.22/1,412.10 = 448.62/x
  3. Step 3: Cross multiply
    942.22x = 1,412.10 × 448.62
  4. Step 4: Simplify right side
    942.22x = 633,496.30
  5. Step 5: Solve for x
    x = 633,496.30/942.22
  6. Step 6: Final answer
    x = 672.34

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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.