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Finding the Fourth Proportional to 492.20, 734.32 and 443.00

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Solution

The fourth proportional to 492.20, 734.32 and 443.00 is: 660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.20 : 734.32 = 443.00 : x
  2. Step 2: Convert to fraction form
    492.20/734.32 = 443.00/x
  3. Step 3: Cross multiply
    492.20x = 734.32 × 443.00
  4. Step 4: Simplify right side
    492.20x = 325,298.98
  5. Step 5: Solve for x
    x = 325,298.98/492.20
  6. Step 6: Final answer
    x = 660.90

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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.