Home / 1,028.10-1,418.77-562.35

Finding the Fourth Proportional to 1,028.10, 1,418.77 and 562.35

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Solution

The fourth proportional to 1,028.10, 1,418.77 and 562.35 is: 776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.10 : 1,418.77 = 562.35 : x
  2. Step 2: Convert to fraction form
    1,028.10/1,418.77 = 562.35/x
  3. Step 3: Cross multiply
    1,028.10x = 1,418.77 × 562.35
  4. Step 4: Simplify right side
    1,028.10x = 797,842.50
  5. Step 5: Solve for x
    x = 797,842.50/1,028.10
  6. Step 6: Final answer
    x = 776.04

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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.