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Finding the Fourth Proportional to 669.97, 923.89 and 512.57

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Solution

The fourth proportional to 669.97, 923.89 and 512.57 is: 706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.97 : 923.89 = 512.57 : x
  2. Step 2: Convert to fraction form
    669.97/923.89 = 512.57/x
  3. Step 3: Cross multiply
    669.97x = 923.89 × 512.57
  4. Step 4: Simplify right side
    669.97x = 473,555.73
  5. Step 5: Solve for x
    x = 473,555.73/669.97
  6. Step 6: Final answer
    x = 706.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.