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Finding the Fourth Proportional to 666.64, 1,005.42 and 659.36

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Solution

The fourth proportional to 666.64, 1,005.42 and 659.36 is: 994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 1,005.42 = 659.36 : x
  2. Step 2: Convert to fraction form
    666.64/1,005.42 = 659.36/x
  3. Step 3: Cross multiply
    666.64x = 1,005.42 × 659.36
  4. Step 4: Simplify right side
    666.64x = 662,933.73
  5. Step 5: Solve for x
    x = 662,933.73/666.64
  6. Step 6: Final answer
    x = 994.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.