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Finding the Fourth Proportional to 452.28, 673.14 and 442.68

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Solution

The fourth proportional to 452.28, 673.14 and 442.68 is: 658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.28 : 673.14 = 442.68 : x
  2. Step 2: Convert to fraction form
    452.28/673.14 = 442.68/x
  3. Step 3: Cross multiply
    452.28x = 673.14 × 442.68
  4. Step 4: Simplify right side
    452.28x = 297,985.62
  5. Step 5: Solve for x
    x = 297,985.62/452.28
  6. Step 6: Final answer
    x = 658.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.