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Finding the Fourth Proportional to 669.64, 997.04 and 666.40

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Solution

The fourth proportional to 669.64, 997.04 and 666.40 is: 992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 997.04 = 666.40 : x
  2. Step 2: Convert to fraction form
    669.64/997.04 = 666.40/x
  3. Step 3: Cross multiply
    669.64x = 997.04 × 666.40
  4. Step 4: Simplify right side
    669.64x = 664,427.46
  5. Step 5: Solve for x
    x = 664,427.46/669.64
  6. Step 6: Final answer
    x = 992.22

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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.