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Finding the Fourth Proportional to 499.63, 745.67 and 486.67

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Solution

The fourth proportional to 499.63, 745.67 and 486.67 is: 726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.63 : 745.67 = 486.67 : x
  2. Step 2: Convert to fraction form
    499.63/745.67 = 486.67/x
  3. Step 3: Cross multiply
    499.63x = 745.67 × 486.67
  4. Step 4: Simplify right side
    499.63x = 362,895.22
  5. Step 5: Solve for x
    x = 362,895.22/499.63
  6. Step 6: Final answer
    x = 726.33

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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.