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Finding the Fourth Proportional to 1,619.29, 2,429.79 and 645.40

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Solution

The fourth proportional to 1,619.29, 2,429.79 and 645.40 is: 968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.29 : 2,429.79 = 645.40 : x
  2. Step 2: Convert to fraction form
    1,619.29/2,429.79 = 645.40/x
  3. Step 3: Cross multiply
    1,619.29x = 2,429.79 × 645.40
  4. Step 4: Simplify right side
    1,619.29x = 1,568,186.47
  5. Step 5: Solve for x
    x = 1,568,186.47/1,619.29
  6. Step 6: Final answer
    x = 968.44

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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.