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Finding the Fourth Proportional to 648.02, 894.16 and 382.48

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Solution

The fourth proportional to 648.02, 894.16 and 382.48 is: 527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 894.16 = 382.48 : x
  2. Step 2: Convert to fraction form
    648.02/894.16 = 382.48/x
  3. Step 3: Cross multiply
    648.02x = 894.16 × 382.48
  4. Step 4: Simplify right side
    648.02x = 341,998.32
  5. Step 5: Solve for x
    x = 341,998.32/648.02
  6. Step 6: Final answer
    x = 527.76

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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.