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Finding the Fourth Proportional to 438.73, 648.91 and 438.73

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Solution

The fourth proportional to 438.73, 648.91 and 438.73 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.73 : 648.91 = 438.73 : x
  2. Step 2: Convert to fraction form
    438.73/648.91 = 438.73/x
  3. Step 3: Cross multiply
    438.73x = 648.91 × 438.73
  4. Step 4: Simplify right side
    438.73x = 284,696.28
  5. Step 5: Solve for x
    x = 284,696.28/438.73
  6. Step 6: Final answer
    x = 648.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.