Home / 1,024.21-1,536.40-293.85

Finding the Fourth Proportional to 1,024.21, 1,536.40 and 293.85

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Solution

The fourth proportional to 1,024.21, 1,536.40 and 293.85 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.21 : 1,536.40 = 293.85 : x
  2. Step 2: Convert to fraction form
    1,024.21/1,536.40 = 293.85/x
  3. Step 3: Cross multiply
    1,024.21x = 1,536.40 × 293.85
  4. Step 4: Simplify right side
    1,024.21x = 451,471.14
  5. Step 5: Solve for x
    x = 451,471.14/1,024.21
  6. Step 6: Final answer
    x = 440.80

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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.