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Finding the Fourth Proportional to 699.76, 965.59 and 419.95

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Solution

The fourth proportional to 699.76, 965.59 and 419.95 is: 579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 965.59 = 419.95 : x
  2. Step 2: Convert to fraction form
    699.76/965.59 = 419.95/x
  3. Step 3: Cross multiply
    699.76x = 965.59 × 419.95
  4. Step 4: Simplify right side
    699.76x = 405,499.52
  5. Step 5: Solve for x
    x = 405,499.52/699.76
  6. Step 6: Final answer
    x = 579.48

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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.