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Finding the Fourth Proportional to 674.54, 930.91 and 409.17

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Solution

The fourth proportional to 674.54, 930.91 and 409.17 is: 564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.54 : 930.91 = 409.17 : x
  2. Step 2: Convert to fraction form
    674.54/930.91 = 409.17/x
  3. Step 3: Cross multiply
    674.54x = 930.91 × 409.17
  4. Step 4: Simplify right side
    674.54x = 380,897.09
  5. Step 5: Solve for x
    x = 380,897.09/674.54
  6. Step 6: Final answer
    x = 564.68

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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.