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Finding the Fourth Proportional to 1,633.32, 2,450.43 and 646.38

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Solution

The fourth proportional to 1,633.32, 2,450.43 and 646.38 is: 969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.32 : 2,450.43 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,633.32/2,450.43 = 646.38/x
  3. Step 3: Cross multiply
    1,633.32x = 2,450.43 × 646.38
  4. Step 4: Simplify right side
    1,633.32x = 1,583,908.94
  5. Step 5: Solve for x
    x = 1,583,908.94/1,633.32
  6. Step 6: Final answer
    x = 969.75

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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.