Home / 1,324.06-1,985.10-502.09

Finding the Fourth Proportional to 1,324.06, 1,985.10 and 502.09

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Solution

The fourth proportional to 1,324.06, 1,985.10 and 502.09 is: 752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.06 : 1,985.10 = 502.09 : x
  2. Step 2: Convert to fraction form
    1,324.06/1,985.10 = 502.09/x
  3. Step 3: Cross multiply
    1,324.06x = 1,985.10 × 502.09
  4. Step 4: Simplify right side
    1,324.06x = 996,698.86
  5. Step 5: Solve for x
    x = 996,698.86/1,324.06
  6. Step 6: Final answer
    x = 752.76

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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.