Home / 1,742.67-2,614.95-768.87

Finding the Fourth Proportional to 1,742.67, 2,614.95 and 768.87

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Solution

The fourth proportional to 1,742.67, 2,614.95 and 768.87 is: 1,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.67 : 2,614.95 = 768.87 : x
  2. Step 2: Convert to fraction form
    1,742.67/2,614.95 = 768.87/x
  3. Step 3: Cross multiply
    1,742.67x = 2,614.95 × 768.87
  4. Step 4: Simplify right side
    1,742.67x = 2,010,556.61
  5. Step 5: Solve for x
    x = 2,010,556.61/1,742.67
  6. Step 6: Final answer
    x = 1,153.72

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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.