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Finding the Fourth Proportional to 669.18, 998.24 and 591.42

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Solution

The fourth proportional to 669.18, 998.24 and 591.42 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 998.24 = 591.42 : x
  2. Step 2: Convert to fraction form
    669.18/998.24 = 591.42/x
  3. Step 3: Cross multiply
    669.18x = 998.24 × 591.42
  4. Step 4: Simplify right side
    669.18x = 590,376.14
  5. Step 5: Solve for x
    x = 590,376.14/669.18
  6. Step 6: Final answer
    x = 882.24

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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.