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Finding the Fourth Proportional to 1,753.46, 2,630.83 and 828.32

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Solution

The fourth proportional to 1,753.46, 2,630.83 and 828.32 is: 1,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.46 : 2,630.83 = 828.32 : x
  2. Step 2: Convert to fraction form
    1,753.46/2,630.83 = 828.32/x
  3. Step 3: Cross multiply
    1,753.46x = 2,630.83 × 828.32
  4. Step 4: Simplify right side
    1,753.46x = 2,179,169.11
  5. Step 5: Solve for x
    x = 2,179,169.11/1,753.46
  6. Step 6: Final answer
    x = 1,242.78

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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.