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Finding the Fourth Proportional to 548.63, 823.29 and 317.37

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Solution

The fourth proportional to 548.63, 823.29 and 317.37 is: 476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.63 : 823.29 = 317.37 : x
  2. Step 2: Convert to fraction form
    548.63/823.29 = 317.37/x
  3. Step 3: Cross multiply
    548.63x = 823.29 × 317.37
  4. Step 4: Simplify right side
    548.63x = 261,287.55
  5. Step 5: Solve for x
    x = 261,287.55/548.63
  6. Step 6: Final answer
    x = 476.25

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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.