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Finding the Fourth Proportional to 493.20, 691.20 and 493.20

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Solution

The fourth proportional to 493.20, 691.20 and 493.20 is: 691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 691.20 = 493.20 : x
  2. Step 2: Convert to fraction form
    493.20/691.20 = 493.20/x
  3. Step 3: Cross multiply
    493.20x = 691.20 × 493.20
  4. Step 4: Simplify right side
    493.20x = 340,899.84
  5. Step 5: Solve for x
    x = 340,899.84/493.20
  6. Step 6: Final answer
    x = 691.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.