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Finding the Fourth Proportional to 499.41, 745.82 and 472.78

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Solution

The fourth proportional to 499.41, 745.82 and 472.78 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.41 : 745.82 = 472.78 : x
  2. Step 2: Convert to fraction form
    499.41/745.82 = 472.78/x
  3. Step 3: Cross multiply
    499.41x = 745.82 × 472.78
  4. Step 4: Simplify right side
    499.41x = 352,604.55
  5. Step 5: Solve for x
    x = 352,604.55/499.41
  6. Step 6: Final answer
    x = 706.04

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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.