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Finding the Fourth Proportional to 1,015.96, 1,400.46 and 829.12

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Solution

The fourth proportional to 1,015.96, 1,400.46 and 829.12 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.96 : 1,400.46 = 829.12 : x
  2. Step 2: Convert to fraction form
    1,015.96/1,400.46 = 829.12/x
  3. Step 3: Cross multiply
    1,015.96x = 1,400.46 × 829.12
  4. Step 4: Simplify right side
    1,015.96x = 1,161,149.40
  5. Step 5: Solve for x
    x = 1,161,149.40/1,015.96
  6. Step 6: Final answer
    x = 1,142.91

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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.