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Finding the Fourth Proportional to 669.05, 922.96 and 472.13

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Solution

The fourth proportional to 669.05, 922.96 and 472.13 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.05 : 922.96 = 472.13 : x
  2. Step 2: Convert to fraction form
    669.05/922.96 = 472.13/x
  3. Step 3: Cross multiply
    669.05x = 922.96 × 472.13
  4. Step 4: Simplify right side
    669.05x = 435,757.10
  5. Step 5: Solve for x
    x = 435,757.10/669.05
  6. Step 6: Final answer
    x = 651.31

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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.