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Finding the Fourth Proportional to 699.30, 965.05 and 419.54

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Solution

The fourth proportional to 699.30, 965.05 and 419.54 is: 578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.30 : 965.05 = 419.54 : x
  2. Step 2: Convert to fraction form
    699.30/965.05 = 419.54/x
  3. Step 3: Cross multiply
    699.30x = 965.05 × 419.54
  4. Step 4: Simplify right side
    699.30x = 404,874.98
  5. Step 5: Solve for x
    x = 404,874.98/699.30
  6. Step 6: Final answer
    x = 578.98

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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.