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Finding the Fourth Proportional to 541.87, 813.20 and 450.74

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Solution

The fourth proportional to 541.87, 813.20 and 450.74 is: 676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.87 : 813.20 = 450.74 : x
  2. Step 2: Convert to fraction form
    541.87/813.20 = 450.74/x
  3. Step 3: Cross multiply
    541.87x = 813.20 × 450.74
  4. Step 4: Simplify right side
    541.87x = 366,541.77
  5. Step 5: Solve for x
    x = 366,541.77/541.87
  6. Step 6: Final answer
    x = 676.44

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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.