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Finding the Fourth Proportional to 1,284.19, 1,771.85 and 786.65

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Solution

The fourth proportional to 1,284.19, 1,771.85 and 786.65 is: 1,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.19 : 1,771.85 = 786.65 : x
  2. Step 2: Convert to fraction form
    1,284.19/1,771.85 = 786.65/x
  3. Step 3: Cross multiply
    1,284.19x = 1,771.85 × 786.65
  4. Step 4: Simplify right side
    1,284.19x = 1,393,825.80
  5. Step 5: Solve for x
    x = 1,393,825.80/1,284.19
  6. Step 6: Final answer
    x = 1,085.37

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1.5x scale

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.