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Finding the Fourth Proportional to 469.48, 648.42 and 382.60

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Solution

The fourth proportional to 469.48, 648.42 and 382.60 is: 528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 648.42 = 382.60 : x
  2. Step 2: Convert to fraction form
    469.48/648.42 = 382.60/x
  3. Step 3: Cross multiply
    469.48x = 648.42 × 382.60
  4. Step 4: Simplify right side
    469.48x = 248,085.49
  5. Step 5: Solve for x
    x = 248,085.49/469.48
  6. Step 6: Final answer
    x = 528.43

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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.