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Finding the Fourth Proportional to 648.36, 894.76 and 399.83

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Solution

The fourth proportional to 648.36, 894.76 and 399.83 is: 551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.36 : 894.76 = 399.83 : x
  2. Step 2: Convert to fraction form
    648.36/894.76 = 399.83/x
  3. Step 3: Cross multiply
    648.36x = 894.76 × 399.83
  4. Step 4: Simplify right side
    648.36x = 357,751.89
  5. Step 5: Solve for x
    x = 357,751.89/648.36
  6. Step 6: Final answer
    x = 551.78

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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.