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Finding the Fourth Proportional to 541.92, 811.80 and 439.32

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Solution

The fourth proportional to 541.92, 811.80 and 439.32 is: 658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 811.80 = 439.32 : x
  2. Step 2: Convert to fraction form
    541.92/811.80 = 439.32/x
  3. Step 3: Cross multiply
    541.92x = 811.80 × 439.32
  4. Step 4: Simplify right side
    541.92x = 356,639.98
  5. Step 5: Solve for x
    x = 356,639.98/541.92
  6. Step 6: Final answer
    x = 658.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.