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Finding the Fourth Proportional to 499.10, 745.16 and 449.87

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Solution

The fourth proportional to 499.10, 745.16 and 449.87 is: 671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.10 : 745.16 = 449.87 : x
  2. Step 2: Convert to fraction form
    499.10/745.16 = 449.87/x
  3. Step 3: Cross multiply
    499.10x = 745.16 × 449.87
  4. Step 4: Simplify right side
    499.10x = 335,219.15
  5. Step 5: Solve for x
    x = 335,219.15/499.10
  6. Step 6: Final answer
    x = 671.65

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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.