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Finding the Fourth Proportional to 457.96, 683.04 and 448.24

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Solution

The fourth proportional to 457.96, 683.04 and 448.24 is: 668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.96 : 683.04 = 448.24 : x
  2. Step 2: Convert to fraction form
    457.96/683.04 = 448.24/x
  3. Step 3: Cross multiply
    457.96x = 683.04 × 448.24
  4. Step 4: Simplify right side
    457.96x = 306,165.85
  5. Step 5: Solve for x
    x = 306,165.85/457.96
  6. Step 6: Final answer
    x = 668.54

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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.