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Finding the Fourth Proportional to 459.65, 689 and 199.82

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Solution

The fourth proportional to 459.65, 689 and 199.82 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.65 : 689 = 199.82 : x
  2. Step 2: Convert to fraction form
    459.65/689 = 199.82/x
  3. Step 3: Cross multiply
    459.65x = 689 × 199.82
  4. Step 4: Simplify right side
    459.65x = 137,675.98
  5. Step 5: Solve for x
    x = 137,675.98/459.65
  6. Step 6: Final answer
    x = 299.52

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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.