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Finding the Fourth Proportional to 547.07, 754.80 and 538.85

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Solution

The fourth proportional to 547.07, 754.80 and 538.85 is: 743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.07 : 754.80 = 538.85 : x
  2. Step 2: Convert to fraction form
    547.07/754.80 = 538.85/x
  3. Step 3: Cross multiply
    547.07x = 754.80 × 538.85
  4. Step 4: Simplify right side
    547.07x = 406,720.21
  5. Step 5: Solve for x
    x = 406,720.21/547.07
  6. Step 6: Final answer
    x = 743.46

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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.