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Finding the Fourth Proportional to 942.12, 1,411.38 and 629.91

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Solution

The fourth proportional to 942.12, 1,411.38 and 629.91 is: 943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.12 : 1,411.38 = 629.91 : x
  2. Step 2: Convert to fraction form
    942.12/1,411.38 = 629.91/x
  3. Step 3: Cross multiply
    942.12x = 1,411.38 × 629.91
  4. Step 4: Simplify right side
    942.12x = 889,042.38
  5. Step 5: Solve for x
    x = 889,042.38/942.12
  6. Step 6: Final answer
    x = 943.66

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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.