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Finding the Fourth Proportional to 674.46, 929.61 and 453.33

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Solution

The fourth proportional to 674.46, 929.61 and 453.33 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 929.61 = 453.33 : x
  2. Step 2: Convert to fraction form
    674.46/929.61 = 453.33/x
  3. Step 3: Cross multiply
    674.46x = 929.61 × 453.33
  4. Step 4: Simplify right side
    674.46x = 421,420.10
  5. Step 5: Solve for x
    x = 421,420.10/674.46
  6. Step 6: Final answer
    x = 624.83

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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.