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Finding the Fourth Proportional to 614.55, 920.19 and 449.91

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Solution

The fourth proportional to 614.55, 920.19 and 449.91 is: 673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.55 : 920.19 = 449.91 : x
  2. Step 2: Convert to fraction form
    614.55/920.19 = 449.91/x
  3. Step 3: Cross multiply
    614.55x = 920.19 × 449.91
  4. Step 4: Simplify right side
    614.55x = 414,002.68
  5. Step 5: Solve for x
    x = 414,002.68/614.55
  6. Step 6: Final answer
    x = 673.67

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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.