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Finding the Fourth Proportional to 714.42, 985.04 and 596.56

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Solution

The fourth proportional to 714.42, 985.04 and 596.56 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 985.04 = 596.56 : x
  2. Step 2: Convert to fraction form
    714.42/985.04 = 596.56/x
  3. Step 3: Cross multiply
    714.42x = 985.04 × 596.56
  4. Step 4: Simplify right side
    714.42x = 587,635.46
  5. Step 5: Solve for x
    x = 587,635.46/714.42
  6. Step 6: Final answer
    x = 822.54

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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.