Home / 1,029.82-1,421.32-610.28

Finding the Fourth Proportional to 1,029.82, 1,421.32 and 610.28

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Solution

The fourth proportional to 1,029.82, 1,421.32 and 610.28 is: 842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.82 : 1,421.32 = 610.28 : x
  2. Step 2: Convert to fraction form
    1,029.82/1,421.32 = 610.28/x
  3. Step 3: Cross multiply
    1,029.82x = 1,421.32 × 610.28
  4. Step 4: Simplify right side
    1,029.82x = 867,403.17
  5. Step 5: Solve for x
    x = 867,403.17/1,029.82
  6. Step 6: Final answer
    x = 842.29

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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.