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Finding the Fourth Proportional to 613.99, 920.28 and 306.05

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Solution

The fourth proportional to 613.99, 920.28 and 306.05 is: 458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.99 : 920.28 = 306.05 : x
  2. Step 2: Convert to fraction form
    613.99/920.28 = 306.05/x
  3. Step 3: Cross multiply
    613.99x = 920.28 × 306.05
  4. Step 4: Simplify right side
    613.99x = 281,651.69
  5. Step 5: Solve for x
    x = 281,651.69/613.99
  6. Step 6: Final answer
    x = 458.72

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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.