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Finding the Fourth Proportional to 1,015.29, 1,401.11 and 549.54

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Solution

The fourth proportional to 1,015.29, 1,401.11 and 549.54 is: 758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.29 : 1,401.11 = 549.54 : x
  2. Step 2: Convert to fraction form
    1,015.29/1,401.11 = 549.54/x
  3. Step 3: Cross multiply
    1,015.29x = 1,401.11 × 549.54
  4. Step 4: Simplify right side
    1,015.29x = 769,965.99
  5. Step 5: Solve for x
    x = 769,965.99/1,015.29
  6. Step 6: Final answer
    x = 758.37

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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.