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Finding the Fourth Proportional to 1,284.28, 1,770.46 and 863.89

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Solution

The fourth proportional to 1,284.28, 1,770.46 and 863.89 is: 1,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.28 : 1,770.46 = 863.89 : x
  2. Step 2: Convert to fraction form
    1,284.28/1,770.46 = 863.89/x
  3. Step 3: Cross multiply
    1,284.28x = 1,770.46 × 863.89
  4. Step 4: Simplify right side
    1,284.28x = 1,529,482.69
  5. Step 5: Solve for x
    x = 1,529,482.69/1,284.28
  6. Step 6: Final answer
    x = 1,190.93

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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.