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Finding the Fourth Proportional to 1,633.38, 2,450.79 and 646.49

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Solution

The fourth proportional to 1,633.38, 2,450.79 and 646.49 is: 970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.38 : 2,450.79 = 646.49 : x
  2. Step 2: Convert to fraction form
    1,633.38/2,450.79 = 646.49/x
  3. Step 3: Cross multiply
    1,633.38x = 2,450.79 × 646.49
  4. Step 4: Simplify right side
    1,633.38x = 1,584,411.23
  5. Step 5: Solve for x
    x = 1,584,411.23/1,633.38
  6. Step 6: Final answer
    x = 970.02

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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.