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Finding the Fourth Proportional to 958.18, 1,322.25 and 538.54

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Solution

The fourth proportional to 958.18, 1,322.25 and 538.54 is: 743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.18 : 1,322.25 = 538.54 : x
  2. Step 2: Convert to fraction form
    958.18/1,322.25 = 538.54/x
  3. Step 3: Cross multiply
    958.18x = 1,322.25 × 538.54
  4. Step 4: Simplify right side
    958.18x = 712,084.52
  5. Step 5: Solve for x
    x = 712,084.52/958.18
  6. Step 6: Final answer
    x = 743.16

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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.