Home / 1,742.31-2,613.77-768.48

Finding the Fourth Proportional to 1,742.31, 2,613.77 and 768.48

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Solution

The fourth proportional to 1,742.31, 2,613.77 and 768.48 is: 1,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.31 : 2,613.77 = 768.48 : x
  2. Step 2: Convert to fraction form
    1,742.31/2,613.77 = 768.48/x
  3. Step 3: Cross multiply
    1,742.31x = 2,613.77 × 768.48
  4. Step 4: Simplify right side
    1,742.31x = 2,008,626.13
  5. Step 5: Solve for x
    x = 2,008,626.13/1,742.31
  6. Step 6: Final answer
    x = 1,152.85

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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.