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Finding the Fourth Proportional to 487.67, 727.43 and 448.25

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Solution

The fourth proportional to 487.67, 727.43 and 448.25 is: 668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.67 : 727.43 = 448.25 : x
  2. Step 2: Convert to fraction form
    487.67/727.43 = 448.25/x
  3. Step 3: Cross multiply
    487.67x = 727.43 × 448.25
  4. Step 4: Simplify right side
    487.67x = 326,064.62
  5. Step 5: Solve for x
    x = 326,064.62/487.67
  6. Step 6: Final answer
    x = 668.62

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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.