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Finding the Fourth Proportional to 648.41, 894.25 and 438.53

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Solution

The fourth proportional to 648.41, 894.25 and 438.53 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 894.25 = 438.53 : x
  2. Step 2: Convert to fraction form
    648.41/894.25 = 438.53/x
  3. Step 3: Cross multiply
    648.41x = 894.25 × 438.53
  4. Step 4: Simplify right side
    648.41x = 392,155.45
  5. Step 5: Solve for x
    x = 392,155.45/648.41
  6. Step 6: Final answer
    x = 604.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.