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Finding the Fourth Proportional to 963.56, 1,441.98 and 788.20

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Solution

The fourth proportional to 963.56, 1,441.98 and 788.20 is: 1,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.56 : 1,441.98 = 788.20 : x
  2. Step 2: Convert to fraction form
    963.56/1,441.98 = 788.20/x
  3. Step 3: Cross multiply
    963.56x = 1,441.98 × 788.20
  4. Step 4: Simplify right side
    963.56x = 1,136,568.64
  5. Step 5: Solve for x
    x = 1,136,568.64/963.56
  6. Step 6: Final answer
    x = 1,179.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.