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Finding the Fourth Proportional to 597.64, 820.97 and 542.56

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Solution

The fourth proportional to 597.64, 820.97 and 542.56 is: 745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 820.97 = 542.56 : x
  2. Step 2: Convert to fraction form
    597.64/820.97 = 542.56/x
  3. Step 3: Cross multiply
    597.64x = 820.97 × 542.56
  4. Step 4: Simplify right side
    597.64x = 445,425.48
  5. Step 5: Solve for x
    x = 445,425.48/597.64
  6. Step 6: Final answer
    x = 745.31

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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.