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Finding the Fourth Proportional to 1,563.77, 2,344.85 and 523.40

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Solution

The fourth proportional to 1,563.77, 2,344.85 and 523.40 is: 784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.77 : 2,344.85 = 523.40 : x
  2. Step 2: Convert to fraction form
    1,563.77/2,344.85 = 523.40/x
  3. Step 3: Cross multiply
    1,563.77x = 2,344.85 × 523.40
  4. Step 4: Simplify right side
    1,563.77x = 1,227,282.77
  5. Step 5: Solve for x
    x = 1,227,282.77/1,563.77
  6. Step 6: Final answer
    x = 784.83

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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.