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Finding the Fourth Proportional to 499.02, 749.37 and 416.67

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Solution

The fourth proportional to 499.02, 749.37 and 416.67 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 749.37 = 416.67 : x
  2. Step 2: Convert to fraction form
    499.02/749.37 = 416.67/x
  3. Step 3: Cross multiply
    499.02x = 749.37 × 416.67
  4. Step 4: Simplify right side
    499.02x = 312,240.00
  5. Step 5: Solve for x
    x = 312,240.00/499.02
  6. Step 6: Final answer
    x = 625.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.