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Finding the Fourth Proportional to 839.44, 1,259.16 and 406.66

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Solution

The fourth proportional to 839.44, 1,259.16 and 406.66 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.44 : 1,259.16 = 406.66 : x
  2. Step 2: Convert to fraction form
    839.44/1,259.16 = 406.66/x
  3. Step 3: Cross multiply
    839.44x = 1,259.16 × 406.66
  4. Step 4: Simplify right side
    839.44x = 512,050.01
  5. Step 5: Solve for x
    x = 512,050.01/839.44
  6. Step 6: Final answer
    x = 609.99

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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.