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Finding the Fourth Proportional to 839.37, 1,259.44 and 377.27

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Solution

The fourth proportional to 839.37, 1,259.44 and 377.27 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.37 : 1,259.44 = 377.27 : x
  2. Step 2: Convert to fraction form
    839.37/1,259.44 = 377.27/x
  3. Step 3: Cross multiply
    839.37x = 1,259.44 × 377.27
  4. Step 4: Simplify right side
    839.37x = 475,148.93
  5. Step 5: Solve for x
    x = 475,148.93/839.37
  6. Step 6: Final answer
    x = 566.08

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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.