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Finding the Fourth Proportional to 541.32, 811.20 and 419

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Solution

The fourth proportional to 541.32, 811.20 and 419 is: 627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 811.20 = 419 : x
  2. Step 2: Convert to fraction form
    541.32/811.20 = 419/x
  3. Step 3: Cross multiply
    541.32x = 811.20 × 419
  4. Step 4: Simplify right side
    541.32x = 339,892.80
  5. Step 5: Solve for x
    x = 339,892.80/541.32
  6. Step 6: Final answer
    x = 627.90

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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.