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Finding the Fourth Proportional to 540.38, 808.41 and 432.38

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Solution

The fourth proportional to 540.38, 808.41 and 432.38 is: 646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.38 : 808.41 = 432.38 : x
  2. Step 2: Convert to fraction form
    540.38/808.41 = 432.38/x
  3. Step 3: Cross multiply
    540.38x = 808.41 × 432.38
  4. Step 4: Simplify right side
    540.38x = 349,540.32
  5. Step 5: Solve for x
    x = 349,540.32/540.38
  6. Step 6: Final answer
    x = 646.84

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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.