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Finding the Fourth Proportional to 499.24, 744.95 and 447.35

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Solution

The fourth proportional to 499.24, 744.95 and 447.35 is: 667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 744.95 = 447.35 : x
  2. Step 2: Convert to fraction form
    499.24/744.95 = 447.35/x
  3. Step 3: Cross multiply
    499.24x = 744.95 × 447.35
  4. Step 4: Simplify right side
    499.24x = 333,252.26
  5. Step 5: Solve for x
    x = 333,252.26/499.24
  6. Step 6: Final answer
    x = 667.53

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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.