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Finding the Fourth Proportional to 958.41, 1,321.65 and 892.89

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Solution

The fourth proportional to 958.41, 1,321.65 and 892.89 is: 1,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.41 : 1,321.65 = 892.89 : x
  2. Step 2: Convert to fraction form
    958.41/1,321.65 = 892.89/x
  3. Step 3: Cross multiply
    958.41x = 1,321.65 × 892.89
  4. Step 4: Simplify right side
    958.41x = 1,180,088.07
  5. Step 5: Solve for x
    x = 1,180,088.07/958.41
  6. Step 6: Final answer
    x = 1,231.30

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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.