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Finding the Fourth Proportional to 1,711.28, 2,563.68 and 832.16

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Solution

The fourth proportional to 1,711.28, 2,563.68 and 832.16 is: 1,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.28 : 2,563.68 = 832.16 : x
  2. Step 2: Convert to fraction form
    1,711.28/2,563.68 = 832.16/x
  3. Step 3: Cross multiply
    1,711.28x = 2,563.68 × 832.16
  4. Step 4: Simplify right side
    1,711.28x = 2,133,391.95
  5. Step 5: Solve for x
    x = 2,133,391.95/1,711.28
  6. Step 6: Final answer
    x = 1,246.66

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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.