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Finding the Fourth Proportional to 1,563.44, 2,344.58 and 523.15

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Solution

The fourth proportional to 1,563.44, 2,344.58 and 523.15 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.44 : 2,344.58 = 523.15 : x
  2. Step 2: Convert to fraction form
    1,563.44/2,344.58 = 523.15/x
  3. Step 3: Cross multiply
    1,563.44x = 2,344.58 × 523.15
  4. Step 4: Simplify right side
    1,563.44x = 1,226,567.03
  5. Step 5: Solve for x
    x = 1,226,567.03/1,563.44
  6. Step 6: Final answer
    x = 784.53

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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.