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Finding the Fourth Proportional to 1,105.04, 1,525.80 and 828.41

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Solution

The fourth proportional to 1,105.04, 1,525.80 and 828.41 is: 1,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.04 : 1,525.80 = 828.41 : x
  2. Step 2: Convert to fraction form
    1,105.04/1,525.80 = 828.41/x
  3. Step 3: Cross multiply
    1,105.04x = 1,525.80 × 828.41
  4. Step 4: Simplify right side
    1,105.04x = 1,263,987.98
  5. Step 5: Solve for x
    x = 1,263,987.98/1,105.04
  6. Step 6: Final answer
    x = 1,143.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.