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Finding the Fourth Proportional to 666.46, 1,005.50 and 664.66

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Solution

The fourth proportional to 666.46, 1,005.50 and 664.66 is: 1,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.46 : 1,005.50 = 664.66 : x
  2. Step 2: Convert to fraction form
    666.46/1,005.50 = 664.66/x
  3. Step 3: Cross multiply
    666.46x = 1,005.50 × 664.66
  4. Step 4: Simplify right side
    666.46x = 668,315.63
  5. Step 5: Solve for x
    x = 668,315.63/666.46
  6. Step 6: Final answer
    x = 1,002.78

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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.