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Finding the Fourth Proportional to 958.26, 1,322.26 and 538.54

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Solution

The fourth proportional to 958.26, 1,322.26 and 538.54 is: 743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.26 : 1,322.26 = 538.54 : x
  2. Step 2: Convert to fraction form
    958.26/1,322.26 = 538.54/x
  3. Step 3: Cross multiply
    958.26x = 1,322.26 × 538.54
  4. Step 4: Simplify right side
    958.26x = 712,089.90
  5. Step 5: Solve for x
    x = 712,089.90/958.26
  6. Step 6: Final answer
    x = 743.11

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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.