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Finding the Fourth Proportional to 699.35, 965.12 and 419.63

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Solution

The fourth proportional to 699.35, 965.12 and 419.63 is: 579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.35 : 965.12 = 419.63 : x
  2. Step 2: Convert to fraction form
    699.35/965.12 = 419.63/x
  3. Step 3: Cross multiply
    699.35x = 965.12 × 419.63
  4. Step 4: Simplify right side
    699.35x = 404,986.38
  5. Step 5: Solve for x
    x = 404,986.38/699.35
  6. Step 6: Final answer
    x = 579.09

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1.5x scale

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.