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Finding the Fourth Proportional to 838.99, 1,259.09 and 406.45

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Solution

The fourth proportional to 838.99, 1,259.09 and 406.45 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.99 : 1,259.09 = 406.45 : x
  2. Step 2: Convert to fraction form
    838.99/1,259.09 = 406.45/x
  3. Step 3: Cross multiply
    838.99x = 1,259.09 × 406.45
  4. Step 4: Simplify right side
    838.99x = 511,760.48
  5. Step 5: Solve for x
    x = 511,760.48/838.99
  6. Step 6: Final answer
    x = 609.97

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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.