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Finding the Fourth Proportional to 548.10, 822.29 and 317.12

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Solution

The fourth proportional to 548.10, 822.29 and 317.12 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 822.29 = 317.12 : x
  2. Step 2: Convert to fraction form
    548.10/822.29 = 317.12/x
  3. Step 3: Cross multiply
    548.10x = 822.29 × 317.12
  4. Step 4: Simplify right side
    548.10x = 260,758.91
  5. Step 5: Solve for x
    x = 260,758.91/548.10
  6. Step 6: Final answer
    x = 475.75

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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.