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Finding the Fourth Proportional to 499.95, 743.82 and 490.23

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Solution

The fourth proportional to 499.95, 743.82 and 490.23 is: 729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.95 : 743.82 = 490.23 : x
  2. Step 2: Convert to fraction form
    499.95/743.82 = 490.23/x
  3. Step 3: Cross multiply
    499.95x = 743.82 × 490.23
  4. Step 4: Simplify right side
    499.95x = 364,642.88
  5. Step 5: Solve for x
    x = 364,642.88/499.95
  6. Step 6: Final answer
    x = 729.36

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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.