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Finding the Fourth Proportional to 1,090.77, 1,503.68 and 828.33

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Solution

The fourth proportional to 1,090.77, 1,503.68 and 828.33 is: 1,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.77 : 1,503.68 = 828.33 : x
  2. Step 2: Convert to fraction form
    1,090.77/1,503.68 = 828.33/x
  3. Step 3: Cross multiply
    1,090.77x = 1,503.68 × 828.33
  4. Step 4: Simplify right side
    1,090.77x = 1,245,539.11
  5. Step 5: Solve for x
    x = 1,245,539.11/1,090.77
  6. Step 6: Final answer
    x = 1,141.89

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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.