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Finding the Fourth Proportional to 495.66, 744.24 and 403.38

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Solution

The fourth proportional to 495.66, 744.24 and 403.38 is: 605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.66 : 744.24 = 403.38 : x
  2. Step 2: Convert to fraction form
    495.66/744.24 = 403.38/x
  3. Step 3: Cross multiply
    495.66x = 744.24 × 403.38
  4. Step 4: Simplify right side
    495.66x = 300,211.53
  5. Step 5: Solve for x
    x = 300,211.53/495.66
  6. Step 6: Final answer
    x = 605.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.