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Finding the Fourth Proportional to 963.30, 1,447.01 and 817.35

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Solution

The fourth proportional to 963.30, 1,447.01 and 817.35 is: 1,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.30 : 1,447.01 = 817.35 : x
  2. Step 2: Convert to fraction form
    963.30/1,447.01 = 817.35/x
  3. Step 3: Cross multiply
    963.30x = 1,447.01 × 817.35
  4. Step 4: Simplify right side
    963.30x = 1,182,709.54
  5. Step 5: Solve for x
    x = 1,182,709.54/963.30
  6. Step 6: Final answer
    x = 1,227.77

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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.