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Finding the Fourth Proportional to 541.06, 745.98 and 393.64

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Solution

The fourth proportional to 541.06, 745.98 and 393.64 is: 542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 745.98 = 393.64 : x
  2. Step 2: Convert to fraction form
    541.06/745.98 = 393.64/x
  3. Step 3: Cross multiply
    541.06x = 745.98 × 393.64
  4. Step 4: Simplify right side
    541.06x = 293,647.57
  5. Step 5: Solve for x
    x = 293,647.57/541.06
  6. Step 6: Final answer
    x = 542.73

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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.