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Finding the Fourth Proportional to 492.86, 737.67 and 438.86

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Solution

The fourth proportional to 492.86, 737.67 and 438.86 is: 656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.86 : 737.67 = 438.86 : x
  2. Step 2: Convert to fraction form
    492.86/737.67 = 438.86/x
  3. Step 3: Cross multiply
    492.86x = 737.67 × 438.86
  4. Step 4: Simplify right side
    492.86x = 323,733.86
  5. Step 5: Solve for x
    x = 323,733.86/492.86
  6. Step 6: Final answer
    x = 656.85

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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.