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Finding the Fourth Proportional to 556.11, 765.14 and 542.44

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Solution

The fourth proportional to 556.11, 765.14 and 542.44 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.11 : 765.14 = 542.44 : x
  2. Step 2: Convert to fraction form
    556.11/765.14 = 542.44/x
  3. Step 3: Cross multiply
    556.11x = 765.14 × 542.44
  4. Step 4: Simplify right side
    556.11x = 415,042.54
  5. Step 5: Solve for x
    x = 415,042.54/556.11
  6. Step 6: Final answer
    x = 746.33

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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.