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Finding the Fourth Proportional to 609.64, 912.56 and 401.18

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Solution

The fourth proportional to 609.64, 912.56 and 401.18 is: 600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 912.56 = 401.18 : x
  2. Step 2: Convert to fraction form
    609.64/912.56 = 401.18/x
  3. Step 3: Cross multiply
    609.64x = 912.56 × 401.18
  4. Step 4: Simplify right side
    609.64x = 366,100.82
  5. Step 5: Solve for x
    x = 366,100.82/609.64
  6. Step 6: Final answer
    x = 600.52

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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.