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Finding the Fourth Proportional to 609.60, 913.78 and 300.99

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Solution

The fourth proportional to 609.60, 913.78 and 300.99 is: 451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 913.78 = 300.99 : x
  2. Step 2: Convert to fraction form
    609.60/913.78 = 300.99/x
  3. Step 3: Cross multiply
    609.60x = 913.78 × 300.99
  4. Step 4: Simplify right side
    609.60x = 275,038.64
  5. Step 5: Solve for x
    x = 275,038.64/609.60
  6. Step 6: Final answer
    x = 451.18

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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.