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Finding the Fourth Proportional to 448.08, 667.68 and 399.62

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Solution

The fourth proportional to 448.08, 667.68 and 399.62 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 667.68 = 399.62 : x
  2. Step 2: Convert to fraction form
    448.08/667.68 = 399.62/x
  3. Step 3: Cross multiply
    448.08x = 667.68 × 399.62
  4. Step 4: Simplify right side
    448.08x = 266,814.94
  5. Step 5: Solve for x
    x = 266,814.94/448.08
  6. Step 6: Final answer
    x = 595.46

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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.