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Finding the Fourth Proportional to 835.99, 1,255.43 and 513.25

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Solution

The fourth proportional to 835.99, 1,255.43 and 513.25 is: 770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,255.43 = 513.25 : x
  2. Step 2: Convert to fraction form
    835.99/1,255.43 = 513.25/x
  3. Step 3: Cross multiply
    835.99x = 1,255.43 × 513.25
  4. Step 4: Simplify right side
    835.99x = 644,349.45
  5. Step 5: Solve for x
    x = 644,349.45/835.99
  6. Step 6: Final answer
    x = 770.76

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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.