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Finding the Fourth Proportional to 492.12, 677.70 and 445.68

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Solution

The fourth proportional to 492.12, 677.70 and 445.68 is: 613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.12 : 677.70 = 445.68 : x
  2. Step 2: Convert to fraction form
    492.12/677.70 = 445.68/x
  3. Step 3: Cross multiply
    492.12x = 677.70 × 445.68
  4. Step 4: Simplify right side
    492.12x = 302,037.34
  5. Step 5: Solve for x
    x = 302,037.34/492.12
  6. Step 6: Final answer
    x = 613.75

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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.