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Finding the Fourth Proportional to 1,255.60, 1,884.47 and 794.21

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Solution

The fourth proportional to 1,255.60, 1,884.47 and 794.21 is: 1,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.60 : 1,884.47 = 794.21 : x
  2. Step 2: Convert to fraction form
    1,255.60/1,884.47 = 794.21/x
  3. Step 3: Cross multiply
    1,255.60x = 1,884.47 × 794.21
  4. Step 4: Simplify right side
    1,255.60x = 1,496,651.53
  5. Step 5: Solve for x
    x = 1,496,651.53/1,255.60
  6. Step 6: Final answer
    x = 1,191.98

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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.