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Finding the Fourth Proportional to 541.29, 811.86 and 450.57

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Solution

The fourth proportional to 541.29, 811.86 and 450.57 is: 675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.29 : 811.86 = 450.57 : x
  2. Step 2: Convert to fraction form
    541.29/811.86 = 450.57/x
  3. Step 3: Cross multiply
    541.29x = 811.86 × 450.57
  4. Step 4: Simplify right side
    541.29x = 365,799.76
  5. Step 5: Solve for x
    x = 365,799.76/541.29
  6. Step 6: Final answer
    x = 675.79

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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.