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Finding the Fourth Proportional to 699.87, 965.82 and 405.09

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Solution

The fourth proportional to 699.87, 965.82 and 405.09 is: 559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.87 : 965.82 = 405.09 : x
  2. Step 2: Convert to fraction form
    699.87/965.82 = 405.09/x
  3. Step 3: Cross multiply
    699.87x = 965.82 × 405.09
  4. Step 4: Simplify right side
    699.87x = 391,244.02
  5. Step 5: Solve for x
    x = 391,244.02/699.87
  6. Step 6: Final answer
    x = 559.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.