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Finding the Fourth Proportional to 958.42, 1,322.30 and 538.70

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Solution

The fourth proportional to 958.42, 1,322.30 and 538.70 is: 743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.42 : 1,322.30 = 538.70 : x
  2. Step 2: Convert to fraction form
    958.42/1,322.30 = 538.70/x
  3. Step 3: Cross multiply
    958.42x = 1,322.30 × 538.70
  4. Step 4: Simplify right side
    958.42x = 712,323.01
  5. Step 5: Solve for x
    x = 712,323.01/958.42
  6. Step 6: Final answer
    x = 743.23

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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.