Home / 1,028.15-1,418.79-586.06

Finding the Fourth Proportional to 1,028.15, 1,418.79 and 586.06

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Solution

The fourth proportional to 1,028.15, 1,418.79 and 586.06 is: 808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.15 : 1,418.79 = 586.06 : x
  2. Step 2: Convert to fraction form
    1,028.15/1,418.79 = 586.06/x
  3. Step 3: Cross multiply
    1,028.15x = 1,418.79 × 586.06
  4. Step 4: Simplify right side
    1,028.15x = 831,496.07
  5. Step 5: Solve for x
    x = 831,496.07/1,028.15
  6. Step 6: Final answer
    x = 808.73

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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.