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Finding the Fourth Proportional to 674.42, 930.74 and 409.04

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Solution

The fourth proportional to 674.42, 930.74 and 409.04 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 930.74 = 409.04 : x
  2. Step 2: Convert to fraction form
    674.42/930.74 = 409.04/x
  3. Step 3: Cross multiply
    674.42x = 930.74 × 409.04
  4. Step 4: Simplify right side
    674.42x = 380,710.17
  5. Step 5: Solve for x
    x = 380,710.17/674.42
  6. Step 6: Final answer
    x = 564.50

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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.