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Finding the Fourth Proportional to 541.94, 811.53 and 310.43

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Solution

The fourth proportional to 541.94, 811.53 and 310.43 is: 464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 811.53 = 310.43 : x
  2. Step 2: Convert to fraction form
    541.94/811.53 = 310.43/x
  3. Step 3: Cross multiply
    541.94x = 811.53 × 310.43
  4. Step 4: Simplify right side
    541.94x = 251,919.20
  5. Step 5: Solve for x
    x = 251,919.20/541.94
  6. Step 6: Final answer
    x = 464.85

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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.