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Finding the Fourth Proportional to 674.98, 931.25 and 409.43

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Solution

The fourth proportional to 674.98, 931.25 and 409.43 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.98 : 931.25 = 409.43 : x
  2. Step 2: Convert to fraction form
    674.98/931.25 = 409.43/x
  3. Step 3: Cross multiply
    674.98x = 931.25 × 409.43
  4. Step 4: Simplify right side
    674.98x = 381,285.04
  5. Step 5: Solve for x
    x = 381,285.04/674.98
  6. Step 6: Final answer
    x = 564.89

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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.