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Finding the Fourth Proportional to 540.55, 804.33 and 538.73

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Solution

The fourth proportional to 540.55, 804.33 and 538.73 is: 801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.55 : 804.33 = 538.73 : x
  2. Step 2: Convert to fraction form
    540.55/804.33 = 538.73/x
  3. Step 3: Cross multiply
    540.55x = 804.33 × 538.73
  4. Step 4: Simplify right side
    540.55x = 433,312.68
  5. Step 5: Solve for x
    x = 433,312.68/540.55
  6. Step 6: Final answer
    x = 801.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.