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Finding the Fourth Proportional to 547.50, 754.36 and 533.84

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Solution

The fourth proportional to 547.50, 754.36 and 533.84 is: 735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 754.36 = 533.84 : x
  2. Step 2: Convert to fraction form
    547.50/754.36 = 533.84/x
  3. Step 3: Cross multiply
    547.50x = 754.36 × 533.84
  4. Step 4: Simplify right side
    547.50x = 402,707.54
  5. Step 5: Solve for x
    x = 402,707.54/547.50
  6. Step 6: Final answer
    x = 735.54

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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.