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Finding the Fourth Proportional to 674.34, 929.72 and 452.81

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Solution

The fourth proportional to 674.34, 929.72 and 452.81 is: 624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 929.72 = 452.81 : x
  2. Step 2: Convert to fraction form
    674.34/929.72 = 452.81/x
  3. Step 3: Cross multiply
    674.34x = 929.72 × 452.81
  4. Step 4: Simplify right side
    674.34x = 420,979.60
  5. Step 5: Solve for x
    x = 420,979.60/674.34
  6. Step 6: Final answer
    x = 624.28

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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.