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Finding the Fourth Proportional to 517.19, 771.98 and 455.67

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Solution

The fourth proportional to 517.19, 771.98 and 455.67 is: 680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 771.98 = 455.67 : x
  2. Step 2: Convert to fraction form
    517.19/771.98 = 455.67/x
  3. Step 3: Cross multiply
    517.19x = 771.98 × 455.67
  4. Step 4: Simplify right side
    517.19x = 351,765.85
  5. Step 5: Solve for x
    x = 351,765.85/517.19
  6. Step 6: Final answer
    x = 680.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.