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Finding the Fourth Proportional to 845.02, 1,257.26 and 828.64

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Solution

The fourth proportional to 845.02, 1,257.26 and 828.64 is: 1,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.02 : 1,257.26 = 828.64 : x
  2. Step 2: Convert to fraction form
    845.02/1,257.26 = 828.64/x
  3. Step 3: Cross multiply
    845.02x = 1,257.26 × 828.64
  4. Step 4: Simplify right side
    845.02x = 1,041,815.93
  5. Step 5: Solve for x
    x = 1,041,815.93/845.02
  6. Step 6: Final answer
    x = 1,232.89

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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.