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Finding the Fourth Proportional to 540.31, 808.63 and 324.04

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Solution

The fourth proportional to 540.31, 808.63 and 324.04 is: 484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.31 : 808.63 = 324.04 : x
  2. Step 2: Convert to fraction form
    540.31/808.63 = 324.04/x
  3. Step 3: Cross multiply
    540.31x = 808.63 × 324.04
  4. Step 4: Simplify right side
    540.31x = 262,028.47
  5. Step 5: Solve for x
    x = 262,028.47/540.31
  6. Step 6: Final answer
    x = 484.96

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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.