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Finding the Fourth Proportional to 609.15, 912.34 and 471.09

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Solution

The fourth proportional to 609.15, 912.34 and 471.09 is: 705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.15 : 912.34 = 471.09 : x
  2. Step 2: Convert to fraction form
    609.15/912.34 = 471.09/x
  3. Step 3: Cross multiply
    609.15x = 912.34 × 471.09
  4. Step 4: Simplify right side
    609.15x = 429,794.37
  5. Step 5: Solve for x
    x = 429,794.37/609.15
  6. Step 6: Final answer
    x = 705.57

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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.