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Finding the Fourth Proportional to 958.95, 1,438.27 and 342.55

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Solution

The fourth proportional to 958.95, 1,438.27 and 342.55 is: 513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.95 : 1,438.27 = 342.55 : x
  2. Step 2: Convert to fraction form
    958.95/1,438.27 = 342.55/x
  3. Step 3: Cross multiply
    958.95x = 1,438.27 × 342.55
  4. Step 4: Simplify right side
    958.95x = 492,679.39
  5. Step 5: Solve for x
    x = 492,679.39/958.95
  6. Step 6: Final answer
    x = 513.77

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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.