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Finding the Fourth Proportional to 609.80, 842.63 and 491.54

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Solution

The fourth proportional to 609.80, 842.63 and 491.54 is: 679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 842.63 = 491.54 : x
  2. Step 2: Convert to fraction form
    609.80/842.63 = 491.54/x
  3. Step 3: Cross multiply
    609.80x = 842.63 × 491.54
  4. Step 4: Simplify right side
    609.80x = 414,186.00
  5. Step 5: Solve for x
    x = 414,186.00/609.80
  6. Step 6: Final answer
    x = 679.21

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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.