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Finding the Fourth Proportional to 1,282.85, 1,770.49 and 785.56

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Solution

The fourth proportional to 1,282.85, 1,770.49 and 785.56 is: 1,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.85 : 1,770.49 = 785.56 : x
  2. Step 2: Convert to fraction form
    1,282.85/1,770.49 = 785.56/x
  3. Step 3: Cross multiply
    1,282.85x = 1,770.49 × 785.56
  4. Step 4: Simplify right side
    1,282.85x = 1,390,826.12
  5. Step 5: Solve for x
    x = 1,390,826.12/1,282.85
  6. Step 6: Final answer
    x = 1,084.17

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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.