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Finding the Fourth Proportional to 1,024.07, 1,536.09 and 254.57

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Solution

The fourth proportional to 1,024.07, 1,536.09 and 254.57 is: 381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.07 : 1,536.09 = 254.57 : x
  2. Step 2: Convert to fraction form
    1,024.07/1,536.09 = 254.57/x
  3. Step 3: Cross multiply
    1,024.07x = 1,536.09 × 254.57
  4. Step 4: Simplify right side
    1,024.07x = 391,042.43
  5. Step 5: Solve for x
    x = 391,042.43/1,024.07
  6. Step 6: Final answer
    x = 381.85

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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.