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Finding the Fourth Proportional to 669.24, 923.57 and 407.25

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Solution

The fourth proportional to 669.24, 923.57 and 407.25 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.24 : 923.57 = 407.25 : x
  2. Step 2: Convert to fraction form
    669.24/923.57 = 407.25/x
  3. Step 3: Cross multiply
    669.24x = 923.57 × 407.25
  4. Step 4: Simplify right side
    669.24x = 376,121.85
  5. Step 5: Solve for x
    x = 376,121.85/669.24
  6. Step 6: Final answer
    x = 562.01

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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.