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Finding the Fourth Proportional to 669.26, 923.46 and 407.18

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Solution

The fourth proportional to 669.26, 923.46 and 407.18 is: 561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.26 : 923.46 = 407.18 : x
  2. Step 2: Convert to fraction form
    669.26/923.46 = 407.18/x
  3. Step 3: Cross multiply
    669.26x = 923.46 × 407.18
  4. Step 4: Simplify right side
    669.26x = 376,014.44
  5. Step 5: Solve for x
    x = 376,014.44/669.26
  6. Step 6: Final answer
    x = 561.84

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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.