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Finding the Fourth Proportional to 541.14, 749.81 and 534.12

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Solution

The fourth proportional to 541.14, 749.81 and 534.12 is: 740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 749.81 = 534.12 : x
  2. Step 2: Convert to fraction form
    541.14/749.81 = 534.12/x
  3. Step 3: Cross multiply
    541.14x = 749.81 × 534.12
  4. Step 4: Simplify right side
    541.14x = 400,485.85
  5. Step 5: Solve for x
    x = 400,485.85/541.14
  6. Step 6: Final answer
    x = 740.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.