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Finding the Fourth Proportional to 958.52, 1,322.78 and 538.86

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Solution

The fourth proportional to 958.52, 1,322.78 and 538.86 is: 743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.52 : 1,322.78 = 538.86 : x
  2. Step 2: Convert to fraction form
    958.52/1,322.78 = 538.86/x
  3. Step 3: Cross multiply
    958.52x = 1,322.78 × 538.86
  4. Step 4: Simplify right side
    958.52x = 712,793.23
  5. Step 5: Solve for x
    x = 712,793.23/958.52
  6. Step 6: Final answer
    x = 743.64

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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.