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Finding the Fourth Proportional to 828.50, 1,243.55 and 676.28

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Solution

The fourth proportional to 828.50, 1,243.55 and 676.28 is: 1,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.50 : 1,243.55 = 676.28 : x
  2. Step 2: Convert to fraction form
    828.50/1,243.55 = 676.28/x
  3. Step 3: Cross multiply
    828.50x = 1,243.55 × 676.28
  4. Step 4: Simplify right side
    828.50x = 840,992.79
  5. Step 5: Solve for x
    x = 840,992.79/828.50
  6. Step 6: Final answer
    x = 1,015.08

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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.