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Finding the Fourth Proportional to 541.20, 746.85 and 409.98

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Solution

The fourth proportional to 541.20, 746.85 and 409.98 is: 565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.20 : 746.85 = 409.98 : x
  2. Step 2: Convert to fraction form
    541.20/746.85 = 409.98/x
  3. Step 3: Cross multiply
    541.20x = 746.85 × 409.98
  4. Step 4: Simplify right side
    541.20x = 306,193.56
  5. Step 5: Solve for x
    x = 306,193.56/541.20
  6. Step 6: Final answer
    x = 565.77

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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.