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Finding the Fourth Proportional to 499.20, 745.02 and 486.24

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Solution

The fourth proportional to 499.20, 745.02 and 486.24 is: 725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 745.02 = 486.24 : x
  2. Step 2: Convert to fraction form
    499.20/745.02 = 486.24/x
  3. Step 3: Cross multiply
    499.20x = 745.02 × 486.24
  4. Step 4: Simplify right side
    499.20x = 362,252.37
  5. Step 5: Solve for x
    x = 362,252.37/499.20
  6. Step 6: Final answer
    x = 725.67

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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.