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Finding the Fourth Proportional to 495.37, 683.73 and 299.01

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Solution

The fourth proportional to 495.37, 683.73 and 299.01 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.37 : 683.73 = 299.01 : x
  2. Step 2: Convert to fraction form
    495.37/683.73 = 299.01/x
  3. Step 3: Cross multiply
    495.37x = 683.73 × 299.01
  4. Step 4: Simplify right side
    495.37x = 204,442.11
  5. Step 5: Solve for x
    x = 204,442.11/495.37
  6. Step 6: Final answer
    x = 412.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.