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Finding the Fourth Proportional to 499.32, 745.20 and 486.36

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Solution

The fourth proportional to 499.32, 745.20 and 486.36 is: 725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.32 : 745.20 = 486.36 : x
  2. Step 2: Convert to fraction form
    499.32/745.20 = 486.36/x
  3. Step 3: Cross multiply
    499.32x = 745.20 × 486.36
  4. Step 4: Simplify right side
    499.32x = 362,435.47
  5. Step 5: Solve for x
    x = 362,435.47/499.32
  6. Step 6: Final answer
    x = 725.86

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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.