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Finding the Fourth Proportional to 546.16, 815.60 and 518.08

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Solution

The fourth proportional to 546.16, 815.60 and 518.08 is: 773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 815.60 = 518.08 : x
  2. Step 2: Convert to fraction form
    546.16/815.60 = 518.08/x
  3. Step 3: Cross multiply
    546.16x = 815.60 × 518.08
  4. Step 4: Simplify right side
    546.16x = 422,546.05
  5. Step 5: Solve for x
    x = 422,546.05/546.16
  6. Step 6: Final answer
    x = 773.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.