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Finding the Fourth Proportional to 1,012.34, 1,519.25 and 781.80

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Solution

The fourth proportional to 1,012.34, 1,519.25 and 781.80 is: 1,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.34 : 1,519.25 = 781.80 : x
  2. Step 2: Convert to fraction form
    1,012.34/1,519.25 = 781.80/x
  3. Step 3: Cross multiply
    1,012.34x = 1,519.25 × 781.80
  4. Step 4: Simplify right side
    1,012.34x = 1,187,745.74
  5. Step 5: Solve for x
    x = 1,187,745.74/1,012.34
  6. Step 6: Final answer
    x = 1,173.27

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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.