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Finding the Fourth Proportional to 609.35, 912.57 and 365.33

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Solution

The fourth proportional to 609.35, 912.57 and 365.33 is: 547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.35 : 912.57 = 365.33 : x
  2. Step 2: Convert to fraction form
    609.35/912.57 = 365.33/x
  3. Step 3: Cross multiply
    609.35x = 912.57 × 365.33
  4. Step 4: Simplify right side
    609.35x = 333,384.64
  5. Step 5: Solve for x
    x = 333,384.64/609.35
  6. Step 6: Final answer
    x = 547.12

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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.