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Finding the Fourth Proportional to 540.46, 809.88 and 492.94

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Solution

The fourth proportional to 540.46, 809.88 and 492.94 is: 738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.46 : 809.88 = 492.94 : x
  2. Step 2: Convert to fraction form
    540.46/809.88 = 492.94/x
  3. Step 3: Cross multiply
    540.46x = 809.88 × 492.94
  4. Step 4: Simplify right side
    540.46x = 399,222.25
  5. Step 5: Solve for x
    x = 399,222.25/540.46
  6. Step 6: Final answer
    x = 738.67

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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.