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Finding the Fourth Proportional to 608.89, 913.44 and 243.61

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Solution

The fourth proportional to 608.89, 913.44 and 243.61 is: 365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.89 : 913.44 = 243.61 : x
  2. Step 2: Convert to fraction form
    608.89/913.44 = 243.61/x
  3. Step 3: Cross multiply
    608.89x = 913.44 × 243.61
  4. Step 4: Simplify right side
    608.89x = 222,523.12
  5. Step 5: Solve for x
    x = 222,523.12/608.89
  6. Step 6: Final answer
    x = 365.46

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1.5x scale

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.