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Finding the Fourth Proportional to 1,619.80, 2,429.94 and 632.42

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Solution

The fourth proportional to 1,619.80, 2,429.94 and 632.42 is: 948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.80 : 2,429.94 = 632.42 : x
  2. Step 2: Convert to fraction form
    1,619.80/2,429.94 = 632.42/x
  3. Step 3: Cross multiply
    1,619.80x = 2,429.94 × 632.42
  4. Step 4: Simplify right side
    1,619.80x = 1,536,742.65
  5. Step 5: Solve for x
    x = 1,536,742.65/1,619.80
  6. Step 6: Final answer
    x = 948.72

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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.