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Finding the Fourth Proportional to 544.34, 814.46 and 324.16

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Solution

The fourth proportional to 544.34, 814.46 and 324.16 is: 485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.34 : 814.46 = 324.16 : x
  2. Step 2: Convert to fraction form
    544.34/814.46 = 324.16/x
  3. Step 3: Cross multiply
    544.34x = 814.46 × 324.16
  4. Step 4: Simplify right side
    544.34x = 264,011.70
  5. Step 5: Solve for x
    x = 264,011.70/544.34
  6. Step 6: Final answer
    x = 485.01

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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.