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Finding the Fourth Proportional to 1,285.99, 1,930.80 and 797.56

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Solution

The fourth proportional to 1,285.99, 1,930.80 and 797.56 is: 1,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.99 : 1,930.80 = 797.56 : x
  2. Step 2: Convert to fraction form
    1,285.99/1,930.80 = 797.56/x
  3. Step 3: Cross multiply
    1,285.99x = 1,930.80 × 797.56
  4. Step 4: Simplify right side
    1,285.99x = 1,539,928.85
  5. Step 5: Solve for x
    x = 1,539,928.85/1,285.99
  6. Step 6: Final answer
    x = 1,197.47

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1.5x scale

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.