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Finding the Fourth Proportional to 492.87, 737.83 and 319.20

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Solution

The fourth proportional to 492.87, 737.83 and 319.20 is: 477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.87 : 737.83 = 319.20 : x
  2. Step 2: Convert to fraction form
    492.87/737.83 = 319.20/x
  3. Step 3: Cross multiply
    492.87x = 737.83 × 319.20
  4. Step 4: Simplify right side
    492.87x = 235,515.34
  5. Step 5: Solve for x
    x = 235,515.34/492.87
  6. Step 6: Final answer
    x = 477.84

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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.