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Finding the Fourth Proportional to 958.62, 1,438.09 and 342.20

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Solution

The fourth proportional to 958.62, 1,438.09 and 342.20 is: 513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.62 : 1,438.09 = 342.20 : x
  2. Step 2: Convert to fraction form
    958.62/1,438.09 = 342.20/x
  3. Step 3: Cross multiply
    958.62x = 1,438.09 × 342.20
  4. Step 4: Simplify right side
    958.62x = 492,107.21
  5. Step 5: Solve for x
    x = 492,107.21/958.62
  6. Step 6: Final answer
    x = 513.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.