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Finding the Fourth Proportional to 514.57, 710.44 and 396.33

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Solution

The fourth proportional to 514.57, 710.44 and 396.33 is: 547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.57 : 710.44 = 396.33 : x
  2. Step 2: Convert to fraction form
    514.57/710.44 = 396.33/x
  3. Step 3: Cross multiply
    514.57x = 710.44 × 396.33
  4. Step 4: Simplify right side
    514.57x = 281,568.69
  5. Step 5: Solve for x
    x = 281,568.69/514.57
  6. Step 6: Final answer
    x = 547.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.