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Finding the Fourth Proportional to 1,029.62, 1,544.68 and 299.20

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Solution

The fourth proportional to 1,029.62, 1,544.68 and 299.20 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.62 : 1,544.68 = 299.20 : x
  2. Step 2: Convert to fraction form
    1,029.62/1,544.68 = 299.20/x
  3. Step 3: Cross multiply
    1,029.62x = 1,544.68 × 299.20
  4. Step 4: Simplify right side
    1,029.62x = 462,163.65
  5. Step 5: Solve for x
    x = 462,163.65/1,029.62
  6. Step 6: Final answer
    x = 448.87

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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.