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Finding the Fourth Proportional to 1,015.20, 1,400.46 and 828.84

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Solution

The fourth proportional to 1,015.20, 1,400.46 and 828.84 is: 1,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.20 : 1,400.46 = 828.84 : x
  2. Step 2: Convert to fraction form
    1,015.20/1,400.46 = 828.84/x
  3. Step 3: Cross multiply
    1,015.20x = 1,400.46 × 828.84
  4. Step 4: Simplify right side
    1,015.20x = 1,160,757.27
  5. Step 5: Solve for x
    x = 1,160,757.27/1,015.20
  6. Step 6: Final answer
    x = 1,143.38

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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.