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Finding the Fourth Proportional to 1,029.50, 1,544.31 and 299.14

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Solution

The fourth proportional to 1,029.50, 1,544.31 and 299.14 is: 448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.50 : 1,544.31 = 299.14 : x
  2. Step 2: Convert to fraction form
    1,029.50/1,544.31 = 299.14/x
  3. Step 3: Cross multiply
    1,029.50x = 1,544.31 × 299.14
  4. Step 4: Simplify right side
    1,029.50x = 461,961.03
  5. Step 5: Solve for x
    x = 461,961.03/1,029.50
  6. Step 6: Final answer
    x = 448.72

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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.