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Finding the Fourth Proportional to 609.99, 842.18 and 377.25

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Solution

The fourth proportional to 609.99, 842.18 and 377.25 is: 520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.99 : 842.18 = 377.25 : x
  2. Step 2: Convert to fraction form
    609.99/842.18 = 377.25/x
  3. Step 3: Cross multiply
    609.99x = 842.18 × 377.25
  4. Step 4: Simplify right side
    609.99x = 317,712.41
  5. Step 5: Solve for x
    x = 317,712.41/609.99
  6. Step 6: Final answer
    x = 520.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.