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Finding the Fourth Proportional to 648.26, 894.73 and 427.23

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Solution

The fourth proportional to 648.26, 894.73 and 427.23 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 894.73 = 427.23 : x
  2. Step 2: Convert to fraction form
    648.26/894.73 = 427.23/x
  3. Step 3: Cross multiply
    648.26x = 894.73 × 427.23
  4. Step 4: Simplify right side
    648.26x = 382,251.02
  5. Step 5: Solve for x
    x = 382,251.02/648.26
  6. Step 6: Final answer
    x = 589.66

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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.