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Finding the Fourth Proportional to 487.81, 668.95 and 438.54

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Solution

The fourth proportional to 487.81, 668.95 and 438.54 is: 601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.81 : 668.95 = 438.54 : x
  2. Step 2: Convert to fraction form
    487.81/668.95 = 438.54/x
  3. Step 3: Cross multiply
    487.81x = 668.95 × 438.54
  4. Step 4: Simplify right side
    487.81x = 293,361.33
  5. Step 5: Solve for x
    x = 293,361.33/487.81
  6. Step 6: Final answer
    x = 601.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.