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Finding the Fourth Proportional to 613.59, 920.48 and 305.79

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Solution

The fourth proportional to 613.59, 920.48 and 305.79 is: 458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.59 : 920.48 = 305.79 : x
  2. Step 2: Convert to fraction form
    613.59/920.48 = 305.79/x
  3. Step 3: Cross multiply
    613.59x = 920.48 × 305.79
  4. Step 4: Simplify right side
    613.59x = 281,472.05
  5. Step 5: Solve for x
    x = 281,472.05/613.59
  6. Step 6: Final answer
    x = 458.73

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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.