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Finding the Fourth Proportional to 1,742.48, 2,613.74 and 768.60

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Solution

The fourth proportional to 1,742.48, 2,613.74 and 768.60 is: 1,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.48 : 2,613.74 = 768.60 : x
  2. Step 2: Convert to fraction form
    1,742.48/2,613.74 = 768.60/x
  3. Step 3: Cross multiply
    1,742.48x = 2,613.74 × 768.60
  4. Step 4: Simplify right side
    1,742.48x = 2,008,920.56
  5. Step 5: Solve for x
    x = 2,008,920.56/1,742.48
  6. Step 6: Final answer
    x = 1,152.91

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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.