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Finding the Fourth Proportional to 541.09, 745.91 and 383.24

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Solution

The fourth proportional to 541.09, 745.91 and 383.24 is: 528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.09 : 745.91 = 383.24 : x
  2. Step 2: Convert to fraction form
    541.09/745.91 = 383.24/x
  3. Step 3: Cross multiply
    541.09x = 745.91 × 383.24
  4. Step 4: Simplify right side
    541.09x = 285,861.89
  5. Step 5: Solve for x
    x = 285,861.89/541.09
  6. Step 6: Final answer
    x = 528.30

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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.