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Finding the Fourth Proportional to 514.54, 776.27 and 499.96

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Solution

The fourth proportional to 514.54, 776.27 and 499.96 is: 754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 776.27 = 499.96 : x
  2. Step 2: Convert to fraction form
    514.54/776.27 = 499.96/x
  3. Step 3: Cross multiply
    514.54x = 776.27 × 499.96
  4. Step 4: Simplify right side
    514.54x = 388,103.95
  5. Step 5: Solve for x
    x = 388,103.95/514.54
  6. Step 6: Final answer
    x = 754.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.