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Finding the Fourth Proportional to 540.62, 804.48 and 538.80

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Solution

The fourth proportional to 540.62, 804.48 and 538.80 is: 801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.62 : 804.48 = 538.80 : x
  2. Step 2: Convert to fraction form
    540.62/804.48 = 538.80/x
  3. Step 3: Cross multiply
    540.62x = 804.48 × 538.80
  4. Step 4: Simplify right side
    540.62x = 433,453.82
  5. Step 5: Solve for x
    x = 433,453.82/540.62
  6. Step 6: Final answer
    x = 801.77

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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.