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Finding the Fourth Proportional to 941.21, 1,410.44 and 667.83

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Solution

The fourth proportional to 941.21, 1,410.44 and 667.83 is: 1,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.21 : 1,410.44 = 667.83 : x
  2. Step 2: Convert to fraction form
    941.21/1,410.44 = 667.83/x
  3. Step 3: Cross multiply
    941.21x = 1,410.44 × 667.83
  4. Step 4: Simplify right side
    941.21x = 941,935.81
  5. Step 5: Solve for x
    x = 941,935.81/941.21
  6. Step 6: Final answer
    x = 1,000.78

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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.