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Finding the Fourth Proportional to 657.44, 986.49 and 438.21

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Solution

The fourth proportional to 657.44, 986.49 and 438.21 is: 657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 986.49 = 438.21 : x
  2. Step 2: Convert to fraction form
    657.44/986.49 = 438.21/x
  3. Step 3: Cross multiply
    657.44x = 986.49 × 438.21
  4. Step 4: Simplify right side
    657.44x = 432,291.84
  5. Step 5: Solve for x
    x = 432,291.84/657.44
  6. Step 6: Final answer
    x = 657.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.