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Finding the Fourth Proportional to 547.08, 754.12 and 415.84

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Solution

The fourth proportional to 547.08, 754.12 and 415.84 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.08 : 754.12 = 415.84 : x
  2. Step 2: Convert to fraction form
    547.08/754.12 = 415.84/x
  3. Step 3: Cross multiply
    547.08x = 754.12 × 415.84
  4. Step 4: Simplify right side
    547.08x = 313,593.26
  5. Step 5: Solve for x
    x = 313,593.26/547.08
  6. Step 6: Final answer
    x = 573.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.