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Finding the Fourth Proportional to 648.40, 894.75 and 427.44

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Solution

The fourth proportional to 648.40, 894.75 and 427.44 is: 589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 894.75 = 427.44 : x
  2. Step 2: Convert to fraction form
    648.40/894.75 = 427.44/x
  3. Step 3: Cross multiply
    648.40x = 894.75 × 427.44
  4. Step 4: Simplify right side
    648.40x = 382,451.94
  5. Step 5: Solve for x
    x = 382,451.94/648.40
  6. Step 6: Final answer
    x = 589.84

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1.5x scale

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.