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Finding the Fourth Proportional to 493.60, 664.20 and 493.60

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Solution

The fourth proportional to 493.60, 664.20 and 493.60 is: 664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 664.20 = 493.60 : x
  2. Step 2: Convert to fraction form
    493.60/664.20 = 493.60/x
  3. Step 3: Cross multiply
    493.60x = 664.20 × 493.60
  4. Step 4: Simplify right side
    493.60x = 327,849.12
  5. Step 5: Solve for x
    x = 327,849.12/493.60
  6. Step 6: Final answer
    x = 664.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.