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Finding the Fourth Proportional to 448.48, 675.39 and 407.52

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Solution

The fourth proportional to 448.48, 675.39 and 407.52 is: 613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 675.39 = 407.52 : x
  2. Step 2: Convert to fraction form
    448.48/675.39 = 407.52/x
  3. Step 3: Cross multiply
    448.48x = 675.39 × 407.52
  4. Step 4: Simplify right side
    448.48x = 275,234.93
  5. Step 5: Solve for x
    x = 275,234.93/448.48
  6. Step 6: Final answer
    x = 613.71

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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.