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Finding the Fourth Proportional to 523.21, 783.37 and 317.27

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Solution

The fourth proportional to 523.21, 783.37 and 317.27 is: 475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 783.37 = 317.27 : x
  2. Step 2: Convert to fraction form
    523.21/783.37 = 317.27/x
  3. Step 3: Cross multiply
    523.21x = 783.37 × 317.27
  4. Step 4: Simplify right side
    523.21x = 248,537.75
  5. Step 5: Solve for x
    x = 248,537.75/523.21
  6. Step 6: Final answer
    x = 475.03

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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.