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Finding the Fourth Proportional to 669.35, 923.82 and 407.37

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Solution

The fourth proportional to 669.35, 923.82 and 407.37 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 923.82 = 407.37 : x
  2. Step 2: Convert to fraction form
    669.35/923.82 = 407.37/x
  3. Step 3: Cross multiply
    669.35x = 923.82 × 407.37
  4. Step 4: Simplify right side
    669.35x = 376,336.55
  5. Step 5: Solve for x
    x = 376,336.55/669.35
  6. Step 6: Final answer
    x = 562.25

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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.