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Finding the Fourth Proportional to 597.16, 822.18 and 539.56

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Solution

The fourth proportional to 597.16, 822.18 and 539.56 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 822.18 = 539.56 : x
  2. Step 2: Convert to fraction form
    597.16/822.18 = 539.56/x
  3. Step 3: Cross multiply
    597.16x = 822.18 × 539.56
  4. Step 4: Simplify right side
    597.16x = 443,615.44
  5. Step 5: Solve for x
    x = 443,615.44/597.16
  6. Step 6: Final answer
    x = 742.88

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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.