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Finding the Fourth Proportional to 792.50, 1,190.12 and 546.48

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Solution

The fourth proportional to 792.50, 1,190.12 and 546.48 is: 820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,190.12 = 546.48 : x
  2. Step 2: Convert to fraction form
    792.50/1,190.12 = 546.48/x
  3. Step 3: Cross multiply
    792.50x = 1,190.12 × 546.48
  4. Step 4: Simplify right side
    792.50x = 650,374.05
  5. Step 5: Solve for x
    x = 650,374.05/792.50
  6. Step 6: Final answer
    x = 820.67

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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.