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Finding the Fourth Proportional to 1,173.21, 1,760.31 and 523.50

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Solution

The fourth proportional to 1,173.21, 1,760.31 and 523.50 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.21 : 1,760.31 = 523.50 : x
  2. Step 2: Convert to fraction form
    1,173.21/1,760.31 = 523.50/x
  3. Step 3: Cross multiply
    1,173.21x = 1,760.31 × 523.50
  4. Step 4: Simplify right side
    1,173.21x = 921,522.29
  5. Step 5: Solve for x
    x = 921,522.29/1,173.21
  6. Step 6: Final answer
    x = 785.47

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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.