Home / 1,024.16-1,536.34-330.84

Finding the Fourth Proportional to 1,024.16, 1,536.34 and 330.84

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Solution

The fourth proportional to 1,024.16, 1,536.34 and 330.84 is: 496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.16 : 1,536.34 = 330.84 : x
  2. Step 2: Convert to fraction form
    1,024.16/1,536.34 = 330.84/x
  3. Step 3: Cross multiply
    1,024.16x = 1,536.34 × 330.84
  4. Step 4: Simplify right side
    1,024.16x = 508,282.73
  5. Step 5: Solve for x
    x = 508,282.73/1,024.16
  6. Step 6: Final answer
    x = 496.29

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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.