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Finding the Fourth Proportional to 459.72, 638.24 and 446.36

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Solution

The fourth proportional to 459.72, 638.24 and 446.36 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 638.24 = 446.36 : x
  2. Step 2: Convert to fraction form
    459.72/638.24 = 446.36/x
  3. Step 3: Cross multiply
    459.72x = 638.24 × 446.36
  4. Step 4: Simplify right side
    459.72x = 284,879.38
  5. Step 5: Solve for x
    x = 284,879.38/459.72
  6. Step 6: Final answer
    x = 619.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.