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Finding the Fourth Proportional to 828.72, 1,236.48 and 705.60

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Solution

The fourth proportional to 828.72, 1,236.48 and 705.60 is: 1,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.72 : 1,236.48 = 705.60 : x
  2. Step 2: Convert to fraction form
    828.72/1,236.48 = 705.60/x
  3. Step 3: Cross multiply
    828.72x = 1,236.48 × 705.60
  4. Step 4: Simplify right side
    828.72x = 872,460.29
  5. Step 5: Solve for x
    x = 872,460.29/828.72
  6. Step 6: Final answer
    x = 1,052.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.