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Finding the Fourth Proportional to 609.25, 912.84 and 581.83

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Solution

The fourth proportional to 609.25, 912.84 and 581.83 is: 871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.25 : 912.84 = 581.83 : x
  2. Step 2: Convert to fraction form
    609.25/912.84 = 581.83/x
  3. Step 3: Cross multiply
    609.25x = 912.84 × 581.83
  4. Step 4: Simplify right side
    609.25x = 531,117.70
  5. Step 5: Solve for x
    x = 531,117.70/609.25
  6. Step 6: Final answer
    x = 871.76

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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.