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Finding the Fourth Proportional to 648.45, 894.85 and 353.71

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Solution

The fourth proportional to 648.45, 894.85 and 353.71 is: 488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.45 : 894.85 = 353.71 : x
  2. Step 2: Convert to fraction form
    648.45/894.85 = 353.71/x
  3. Step 3: Cross multiply
    648.45x = 894.85 × 353.71
  4. Step 4: Simplify right side
    648.45x = 316,517.39
  5. Step 5: Solve for x
    x = 316,517.39/648.45
  6. Step 6: Final answer
    x = 488.12

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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.