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Finding the Fourth Proportional to 548.41, 822.95 and 317.75

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Solution

The fourth proportional to 548.41, 822.95 and 317.75 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.41 : 822.95 = 317.75 : x
  2. Step 2: Convert to fraction form
    548.41/822.95 = 317.75/x
  3. Step 3: Cross multiply
    548.41x = 822.95 × 317.75
  4. Step 4: Simplify right side
    548.41x = 261,492.36
  5. Step 5: Solve for x
    x = 261,492.36/548.41
  6. Step 6: Final answer
    x = 476.82

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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.