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Finding the Fourth Proportional to 1,563.24, 2,344.12 and 832.64

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Solution

The fourth proportional to 1,563.24, 2,344.12 and 832.64 is: 1,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.24 : 2,344.12 = 832.64 : x
  2. Step 2: Convert to fraction form
    1,563.24/2,344.12 = 832.64/x
  3. Step 3: Cross multiply
    1,563.24x = 2,344.12 × 832.64
  4. Step 4: Simplify right side
    1,563.24x = 1,951,808.08
  5. Step 5: Solve for x
    x = 1,951,808.08/1,563.24
  6. Step 6: Final answer
    x = 1,248.57

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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.