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Finding the Fourth Proportional to 540.81, 813.11 and 433.35

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Solution

The fourth proportional to 540.81, 813.11 and 433.35 is: 651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 813.11 = 433.35 : x
  2. Step 2: Convert to fraction form
    540.81/813.11 = 433.35/x
  3. Step 3: Cross multiply
    540.81x = 813.11 × 433.35
  4. Step 4: Simplify right side
    540.81x = 352,359.05
  5. Step 5: Solve for x
    x = 352,359.05/540.81
  6. Step 6: Final answer
    x = 651.54

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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.