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Finding the Fourth Proportional to 674.74, 931.11 and 409.21

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Solution

The fourth proportional to 674.74, 931.11 and 409.21 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.74 : 931.11 = 409.21 : x
  2. Step 2: Convert to fraction form
    674.74/931.11 = 409.21/x
  3. Step 3: Cross multiply
    674.74x = 931.11 × 409.21
  4. Step 4: Simplify right side
    674.74x = 381,017.96
  5. Step 5: Solve for x
    x = 381,017.96/674.74
  6. Step 6: Final answer
    x = 564.69

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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.