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Finding the Fourth Proportional to 980.56, 1,467.72 and 546.40

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Solution

The fourth proportional to 980.56, 1,467.72 and 546.40 is: 817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.56 : 1,467.72 = 546.40 : x
  2. Step 2: Convert to fraction form
    980.56/1,467.72 = 546.40/x
  3. Step 3: Cross multiply
    980.56x = 1,467.72 × 546.40
  4. Step 4: Simplify right side
    980.56x = 801,962.21
  5. Step 5: Solve for x
    x = 801,962.21/980.56
  6. Step 6: Final answer
    x = 817.86

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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.