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Finding the Fourth Proportional to 958.15, 1,322.20 and 538.50

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Solution

The fourth proportional to 958.15, 1,322.20 and 538.50 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.15 : 1,322.20 = 538.50 : x
  2. Step 2: Convert to fraction form
    958.15/1,322.20 = 538.50/x
  3. Step 3: Cross multiply
    958.15x = 1,322.20 × 538.50
  4. Step 4: Simplify right side
    958.15x = 712,004.70
  5. Step 5: Solve for x
    x = 712,004.70/958.15
  6. Step 6: Final answer
    x = 743.10

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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.