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Finding the Fourth Proportional to 669.47, 996.60 and 665.82

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Solution

The fourth proportional to 669.47, 996.60 and 665.82 is: 991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 996.60 = 665.82 : x
  2. Step 2: Convert to fraction form
    669.47/996.60 = 665.82/x
  3. Step 3: Cross multiply
    669.47x = 996.60 × 665.82
  4. Step 4: Simplify right side
    669.47x = 663,558.71
  5. Step 5: Solve for x
    x = 663,558.71/669.47
  6. Step 6: Final answer
    x = 991.18

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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.