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Finding the Fourth Proportional to 1,741.89, 2,613.44 and 768.07

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Solution

The fourth proportional to 1,741.89, 2,613.44 and 768.07 is: 1,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.89 : 2,613.44 = 768.07 : x
  2. Step 2: Convert to fraction form
    1,741.89/2,613.44 = 768.07/x
  3. Step 3: Cross multiply
    1,741.89x = 2,613.44 × 768.07
  4. Step 4: Simplify right side
    1,741.89x = 2,007,301.02
  5. Step 5: Solve for x
    x = 2,007,301.02/1,741.89
  6. Step 6: Final answer
    x = 1,152.37

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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.