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Finding the Fourth Proportional to 648.72, 894.76 and 452.28

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Solution

The fourth proportional to 648.72, 894.76 and 452.28 is: 623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 894.76 = 452.28 : x
  2. Step 2: Convert to fraction form
    648.72/894.76 = 452.28/x
  3. Step 3: Cross multiply
    648.72x = 894.76 × 452.28
  4. Step 4: Simplify right side
    648.72x = 404,682.05
  5. Step 5: Solve for x
    x = 404,682.05/648.72
  6. Step 6: Final answer
    x = 623.82

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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.