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Finding the Fourth Proportional to 1,401.96, 2,103 and 536.28

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Solution

The fourth proportional to 1,401.96, 2,103 and 536.28 is: 804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.96 : 2,103 = 536.28 : x
  2. Step 2: Convert to fraction form
    1,401.96/2,103 = 536.28/x
  3. Step 3: Cross multiply
    1,401.96x = 2,103 × 536.28
  4. Step 4: Simplify right side
    1,401.96x = 1,127,796.84
  5. Step 5: Solve for x
    x = 1,127,796.84/1,401.96
  6. Step 6: Final answer
    x = 804.44

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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.