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Finding the Fourth Proportional to 609.17, 912.37 and 365.22

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Solution

The fourth proportional to 609.17, 912.37 and 365.22 is: 547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.17 : 912.37 = 365.22 : x
  2. Step 2: Convert to fraction form
    609.17/912.37 = 365.22/x
  3. Step 3: Cross multiply
    609.17x = 912.37 × 365.22
  4. Step 4: Simplify right side
    609.17x = 333,217.14
  5. Step 5: Solve for x
    x = 333,217.14/609.17
  6. Step 6: Final answer
    x = 547.00

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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.