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Finding the Fourth Proportional to 542.34, 744.13 and 528.54

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Solution

The fourth proportional to 542.34, 744.13 and 528.54 is: 725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 744.13 = 528.54 : x
  2. Step 2: Convert to fraction form
    542.34/744.13 = 528.54/x
  3. Step 3: Cross multiply
    542.34x = 744.13 × 528.54
  4. Step 4: Simplify right side
    542.34x = 393,302.47
  5. Step 5: Solve for x
    x = 393,302.47/542.34
  6. Step 6: Final answer
    x = 725.20

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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.