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Finding the Fourth Proportional to 499.40, 745.84 and 418.32

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Solution

The fourth proportional to 499.40, 745.84 and 418.32 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.40 : 745.84 = 418.32 : x
  2. Step 2: Convert to fraction form
    499.40/745.84 = 418.32/x
  3. Step 3: Cross multiply
    499.40x = 745.84 × 418.32
  4. Step 4: Simplify right side
    499.40x = 311,999.79
  5. Step 5: Solve for x
    x = 311,999.79/499.40
  6. Step 6: Final answer
    x = 624.75

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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.