Home / 1,028.04-1,538.76-540.44

Finding the Fourth Proportional to 1,028.04, 1,538.76 and 540.44

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Solution

The fourth proportional to 1,028.04, 1,538.76 and 540.44 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.04 : 1,538.76 = 540.44 : x
  2. Step 2: Convert to fraction form
    1,028.04/1,538.76 = 540.44/x
  3. Step 3: Cross multiply
    1,028.04x = 1,538.76 × 540.44
  4. Step 4: Simplify right side
    1,028.04x = 831,607.45
  5. Step 5: Solve for x
    x = 831,607.45/1,028.04
  6. Step 6: Final answer
    x = 808.93

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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.