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Finding the Fourth Proportional to 448.65, 675.81 and 421.32

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Solution

The fourth proportional to 448.65, 675.81 and 421.32 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.65 : 675.81 = 421.32 : x
  2. Step 2: Convert to fraction form
    448.65/675.81 = 421.32/x
  3. Step 3: Cross multiply
    448.65x = 675.81 × 421.32
  4. Step 4: Simplify right side
    448.65x = 284,732.27
  5. Step 5: Solve for x
    x = 284,732.27/448.65
  6. Step 6: Final answer
    x = 634.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.