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Finding the Fourth Proportional to 942.22, 1,411.93 and 668.85

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Solution

The fourth proportional to 942.22, 1,411.93 and 668.85 is: 1,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,411.93 = 668.85 : x
  2. Step 2: Convert to fraction form
    942.22/1,411.93 = 668.85/x
  3. Step 3: Cross multiply
    942.22x = 1,411.93 × 668.85
  4. Step 4: Simplify right side
    942.22x = 944,369.38
  5. Step 5: Solve for x
    x = 944,369.38/942.22
  6. Step 6: Final answer
    x = 1,002.28

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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.