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Finding the Fourth Proportional to 648.47, 894.41 and 399.92

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Solution

The fourth proportional to 648.47, 894.41 and 399.92 is: 551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.47 : 894.41 = 399.92 : x
  2. Step 2: Convert to fraction form
    648.47/894.41 = 399.92/x
  3. Step 3: Cross multiply
    648.47x = 894.41 × 399.92
  4. Step 4: Simplify right side
    648.47x = 357,688.97
  5. Step 5: Solve for x
    x = 357,688.97/648.47
  6. Step 6: Final answer
    x = 551.59

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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.