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Finding the Fourth Proportional to 669.71, 923.81 and 403.97

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Solution

The fourth proportional to 669.71, 923.81 and 403.97 is: 557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.71 : 923.81 = 403.97 : x
  2. Step 2: Convert to fraction form
    669.71/923.81 = 403.97/x
  3. Step 3: Cross multiply
    669.71x = 923.81 × 403.97
  4. Step 4: Simplify right side
    669.71x = 373,184.89
  5. Step 5: Solve for x
    x = 373,184.89/669.71
  6. Step 6: Final answer
    x = 557.23

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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.