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Finding the Fourth Proportional to 958.72, 1,438.09 and 410.55

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Solution

The fourth proportional to 958.72, 1,438.09 and 410.55 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.72 : 1,438.09 = 410.55 : x
  2. Step 2: Convert to fraction form
    958.72/1,438.09 = 410.55/x
  3. Step 3: Cross multiply
    958.72x = 1,438.09 × 410.55
  4. Step 4: Simplify right side
    958.72x = 590,407.85
  5. Step 5: Solve for x
    x = 590,407.85/958.72
  6. Step 6: Final answer
    x = 615.83

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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.