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Finding the Fourth Proportional to 648.56, 894.78 and 427.62

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Solution

The fourth proportional to 648.56, 894.78 and 427.62 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 894.78 = 427.62 : x
  2. Step 2: Convert to fraction form
    648.56/894.78 = 427.62/x
  3. Step 3: Cross multiply
    648.56x = 894.78 × 427.62
  4. Step 4: Simplify right side
    648.56x = 382,625.82
  5. Step 5: Solve for x
    x = 382,625.82/648.56
  6. Step 6: Final answer
    x = 589.96

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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.