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Finding the Fourth Proportional to 1,282.21, 1,769.56 and 785.16

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Solution

The fourth proportional to 1,282.21, 1,769.56 and 785.16 is: 1,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.21 : 1,769.56 = 785.16 : x
  2. Step 2: Convert to fraction form
    1,282.21/1,769.56 = 785.16/x
  3. Step 3: Cross multiply
    1,282.21x = 1,769.56 × 785.16
  4. Step 4: Simplify right side
    1,282.21x = 1,389,385.77
  5. Step 5: Solve for x
    x = 1,389,385.77/1,282.21
  6. Step 6: Final answer
    x = 1,083.59

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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.