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Finding the Fourth Proportional to 963.05, 1,444.71 and 782

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Solution

The fourth proportional to 963.05, 1,444.71 and 782 is: 1,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.05 : 1,444.71 = 782 : x
  2. Step 2: Convert to fraction form
    963.05/1,444.71 = 782/x
  3. Step 3: Cross multiply
    963.05x = 1,444.71 × 782
  4. Step 4: Simplify right side
    963.05x = 1,129,763.22
  5. Step 5: Solve for x
    x = 1,129,763.22/963.05
  6. Step 6: Final answer
    x = 1,173.11

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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.