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Finding the Fourth Proportional to 514.54, 711.19 and 455.12

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Solution

The fourth proportional to 514.54, 711.19 and 455.12 is: 629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 711.19 = 455.12 : x
  2. Step 2: Convert to fraction form
    514.54/711.19 = 455.12/x
  3. Step 3: Cross multiply
    514.54x = 711.19 × 455.12
  4. Step 4: Simplify right side
    514.54x = 323,676.79
  5. Step 5: Solve for x
    x = 323,676.79/514.54
  6. Step 6: Final answer
    x = 629.06

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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.