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Finding the Fourth Proportional to 1,284.80, 1,927.19 and 822.79

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Solution

The fourth proportional to 1,284.80, 1,927.19 and 822.79 is: 1,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.80 : 1,927.19 = 822.79 : x
  2. Step 2: Convert to fraction form
    1,284.80/1,927.19 = 822.79/x
  3. Step 3: Cross multiply
    1,284.80x = 1,927.19 × 822.79
  4. Step 4: Simplify right side
    1,284.80x = 1,585,677.13
  5. Step 5: Solve for x
    x = 1,585,677.13/1,284.80
  6. Step 6: Final answer
    x = 1,234.19

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.