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Finding the Fourth Proportional to 1,759.92, 2,428.64 and 963.21

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Solution

The fourth proportional to 1,759.92, 2,428.64 and 963.21 is: 1,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.92 : 2,428.64 = 963.21 : x
  2. Step 2: Convert to fraction form
    1,759.92/2,428.64 = 963.21/x
  3. Step 3: Cross multiply
    1,759.92x = 2,428.64 × 963.21
  4. Step 4: Simplify right side
    1,759.92x = 2,339,285.52
  5. Step 5: Solve for x
    x = 2,339,285.52/1,759.92
  6. Step 6: Final answer
    x = 1,329.20

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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.