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Finding the Fourth Proportional to 942.45, 1,299.22 and 661.81

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Solution

The fourth proportional to 942.45, 1,299.22 and 661.81 is: 912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.45 : 1,299.22 = 661.81 : x
  2. Step 2: Convert to fraction form
    942.45/1,299.22 = 661.81/x
  3. Step 3: Cross multiply
    942.45x = 1,299.22 × 661.81
  4. Step 4: Simplify right side
    942.45x = 859,836.79
  5. Step 5: Solve for x
    x = 859,836.79/942.45
  6. Step 6: Final answer
    x = 912.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.