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Finding the Fourth Proportional to 1,024.63, 1,536.94 and 255.13

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Solution

The fourth proportional to 1,024.63, 1,536.94 and 255.13 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.63 : 1,536.94 = 255.13 : x
  2. Step 2: Convert to fraction form
    1,024.63/1,536.94 = 255.13/x
  3. Step 3: Cross multiply
    1,024.63x = 1,536.94 × 255.13
  4. Step 4: Simplify right side
    1,024.63x = 392,119.50
  5. Step 5: Solve for x
    x = 392,119.50/1,024.63
  6. Step 6: Final answer
    x = 382.69

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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.