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Finding the Fourth Proportional to 456, 687.17 and 380.67

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Solution

The fourth proportional to 456, 687.17 and 380.67 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 687.17 = 380.67 : x
  2. Step 2: Convert to fraction form
    456/687.17 = 380.67/x
  3. Step 3: Cross multiply
    456x = 687.17 × 380.67
  4. Step 4: Simplify right side
    456x = 261,583.10
  5. Step 5: Solve for x
    x = 261,583.10/456
  6. Step 6: Final answer
    x = 573.65

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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.