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Finding the Fourth Proportional to 958, 1,321.14 and 883.54

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Solution

The fourth proportional to 958, 1,321.14 and 883.54 is: 1,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    958 : 1,321.14 = 883.54 : x
  2. Step 2: Convert to fraction form
    958/1,321.14 = 883.54/x
  3. Step 3: Cross multiply
    958x = 1,321.14 × 883.54
  4. Step 4: Simplify right side
    958x = 1,167,280.04
  5. Step 5: Solve for x
    x = 1,167,280.04/958
  6. Step 6: Final answer
    x = 1,218.46

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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.