Home / 1,024.20-1,536.12-537.48

Finding the Fourth Proportional to 1,024.20, 1,536.12 and 537.48

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Solution

The fourth proportional to 1,024.20, 1,536.12 and 537.48 is: 806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,536.12 = 537.48 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,536.12 = 537.48/x
  3. Step 3: Cross multiply
    1,024.20x = 1,536.12 × 537.48
  4. Step 4: Simplify right side
    1,024.20x = 825,633.78
  5. Step 5: Solve for x
    x = 825,633.78/1,024.20
  6. Step 6: Final answer
    x = 806.13

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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.