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Finding the Fourth Proportional to 609.71, 912.23 and 349.84

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Solution

The fourth proportional to 609.71, 912.23 and 349.84 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.71 : 912.23 = 349.84 : x
  2. Step 2: Convert to fraction form
    609.71/912.23 = 349.84/x
  3. Step 3: Cross multiply
    609.71x = 912.23 × 349.84
  4. Step 4: Simplify right side
    609.71x = 319,130.11
  5. Step 5: Solve for x
    x = 319,130.11/609.71
  6. Step 6: Final answer
    x = 523.41

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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.