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Finding the Fourth Proportional to 942.45, 1,412.47 and 448.44

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Solution

The fourth proportional to 942.45, 1,412.47 and 448.44 is: 672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.45 : 1,412.47 = 448.44 : x
  2. Step 2: Convert to fraction form
    942.45/1,412.47 = 448.44/x
  3. Step 3: Cross multiply
    942.45x = 1,412.47 × 448.44
  4. Step 4: Simplify right side
    942.45x = 633,403.31
  5. Step 5: Solve for x
    x = 633,403.31/942.45
  6. Step 6: Final answer
    x = 672.08

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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.