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Finding the Fourth Proportional to 541.56, 748.26 and 448.14

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Solution

The fourth proportional to 541.56, 748.26 and 448.14 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 748.26 = 448.14 : x
  2. Step 2: Convert to fraction form
    541.56/748.26 = 448.14/x
  3. Step 3: Cross multiply
    541.56x = 748.26 × 448.14
  4. Step 4: Simplify right side
    541.56x = 335,325.24
  5. Step 5: Solve for x
    x = 335,325.24/541.56
  6. Step 6: Final answer
    x = 619.18

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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.