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Finding the Fourth Proportional to 492.80, 677.76 and 440.96

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Solution

The fourth proportional to 492.80, 677.76 and 440.96 is: 606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 677.76 = 440.96 : x
  2. Step 2: Convert to fraction form
    492.80/677.76 = 440.96/x
  3. Step 3: Cross multiply
    492.80x = 677.76 × 440.96
  4. Step 4: Simplify right side
    492.80x = 298,865.05
  5. Step 5: Solve for x
    x = 298,865.05/492.80
  6. Step 6: Final answer
    x = 606.46

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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.