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Finding the Fourth Proportional to 942.42, 1,412.69 and 447.96

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Solution

The fourth proportional to 942.42, 1,412.69 and 447.96 is: 671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.42 : 1,412.69 = 447.96 : x
  2. Step 2: Convert to fraction form
    942.42/1,412.69 = 447.96/x
  3. Step 3: Cross multiply
    942.42x = 1,412.69 × 447.96
  4. Step 4: Simplify right side
    942.42x = 632,828.61
  5. Step 5: Solve for x
    x = 632,828.61/942.42
  6. Step 6: Final answer
    x = 671.49

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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.