Home / 1,003.24-1,384.66-610.20

Finding the Fourth Proportional to 1,003.24, 1,384.66 and 610.20

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Solution

The fourth proportional to 1,003.24, 1,384.66 and 610.20 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.24 : 1,384.66 = 610.20 : x
  2. Step 2: Convert to fraction form
    1,003.24/1,384.66 = 610.20/x
  3. Step 3: Cross multiply
    1,003.24x = 1,384.66 × 610.20
  4. Step 4: Simplify right side
    1,003.24x = 844,919.53
  5. Step 5: Solve for x
    x = 844,919.53/1,003.24
  6. Step 6: Final answer
    x = 842.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.