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Finding the Fourth Proportional to 1,003.63, 1,383.96 and 782.19

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Solution

The fourth proportional to 1,003.63, 1,383.96 and 782.19 is: 1,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.63 : 1,383.96 = 782.19 : x
  2. Step 2: Convert to fraction form
    1,003.63/1,383.96 = 782.19/x
  3. Step 3: Cross multiply
    1,003.63x = 1,383.96 × 782.19
  4. Step 4: Simplify right side
    1,003.63x = 1,082,526.24
  5. Step 5: Solve for x
    x = 1,082,526.24/1,003.63
  6. Step 6: Final answer
    x = 1,078.61

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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.