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Finding the Fourth Proportional to 699.06, 963.18 and 465.78

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Solution

The fourth proportional to 699.06, 963.18 and 465.78 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.06 : 963.18 = 465.78 : x
  2. Step 2: Convert to fraction form
    699.06/963.18 = 465.78/x
  3. Step 3: Cross multiply
    699.06x = 963.18 × 465.78
  4. Step 4: Simplify right side
    699.06x = 448,629.98
  5. Step 5: Solve for x
    x = 448,629.98/699.06
  6. Step 6: Final answer
    x = 641.76

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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.