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Finding the Fourth Proportional to 492.43, 737.70 and 440.86

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Solution

The fourth proportional to 492.43, 737.70 and 440.86 is: 660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.43 : 737.70 = 440.86 : x
  2. Step 2: Convert to fraction form
    492.43/737.70 = 440.86/x
  3. Step 3: Cross multiply
    492.43x = 737.70 × 440.86
  4. Step 4: Simplify right side
    492.43x = 325,222.42
  5. Step 5: Solve for x
    x = 325,222.42/492.43
  6. Step 6: Final answer
    x = 660.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.