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Finding the Fourth Proportional to 1,255.10, 1,878.39 and 768.49

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Solution

The fourth proportional to 1,255.10, 1,878.39 and 768.49 is: 1,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.10 : 1,878.39 = 768.49 : x
  2. Step 2: Convert to fraction form
    1,255.10/1,878.39 = 768.49/x
  3. Step 3: Cross multiply
    1,255.10x = 1,878.39 × 768.49
  4. Step 4: Simplify right side
    1,255.10x = 1,443,519.24
  5. Step 5: Solve for x
    x = 1,443,519.24/1,255.10
  6. Step 6: Final answer
    x = 1,150.13

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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.