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Finding the Fourth Proportional to 499.25, 744.25 and 491.35

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Solution

The fourth proportional to 499.25, 744.25 and 491.35 is: 732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 744.25 = 491.35 : x
  2. Step 2: Convert to fraction form
    499.25/744.25 = 491.35/x
  3. Step 3: Cross multiply
    499.25x = 744.25 × 491.35
  4. Step 4: Simplify right side
    499.25x = 365,687.24
  5. Step 5: Solve for x
    x = 365,687.24/499.25
  6. Step 6: Final answer
    x = 732.47

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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.