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Finding the Fourth Proportional to 547.52, 751.26 and 542.36

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Solution

The fourth proportional to 547.52, 751.26 and 542.36 is: 744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 751.26 = 542.36 : x
  2. Step 2: Convert to fraction form
    547.52/751.26 = 542.36/x
  3. Step 3: Cross multiply
    547.52x = 751.26 × 542.36
  4. Step 4: Simplify right side
    547.52x = 407,449.62
  5. Step 5: Solve for x
    x = 407,449.62/547.52
  6. Step 6: Final answer
    x = 744.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.