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Finding the Fourth Proportional to 448.48, 668.96 and 418.24

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Solution

The fourth proportional to 448.48, 668.96 and 418.24 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 668.96 = 418.24 : x
  2. Step 2: Convert to fraction form
    448.48/668.96 = 418.24/x
  3. Step 3: Cross multiply
    448.48x = 668.96 × 418.24
  4. Step 4: Simplify right side
    448.48x = 279,785.83
  5. Step 5: Solve for x
    x = 279,785.83/448.48
  6. Step 6: Final answer
    x = 623.85

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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.