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Finding the Fourth Proportional to 669.21, 997.14 and 596.46

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Solution

The fourth proportional to 669.21, 997.14 and 596.46 is: 888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 997.14 = 596.46 : x
  2. Step 2: Convert to fraction form
    669.21/997.14 = 596.46/x
  3. Step 3: Cross multiply
    669.21x = 997.14 × 596.46
  4. Step 4: Simplify right side
    669.21x = 594,754.12
  5. Step 5: Solve for x
    x = 594,754.12/669.21
  6. Step 6: Final answer
    x = 888.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.