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Finding the Fourth Proportional to 1,245.50, 1,720.23 and 851.84

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Solution

The fourth proportional to 1,245.50, 1,720.23 and 851.84 is: 1,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.50 : 1,720.23 = 851.84 : x
  2. Step 2: Convert to fraction form
    1,245.50/1,720.23 = 851.84/x
  3. Step 3: Cross multiply
    1,245.50x = 1,720.23 × 851.84
  4. Step 4: Simplify right side
    1,245.50x = 1,465,360.72
  5. Step 5: Solve for x
    x = 1,465,360.72/1,245.50
  6. Step 6: Final answer
    x = 1,176.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.