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Finding the Fourth Proportional to 669.06, 923.30 and 406.89

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Solution

The fourth proportional to 669.06, 923.30 and 406.89 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.06 : 923.30 = 406.89 : x
  2. Step 2: Convert to fraction form
    669.06/923.30 = 406.89/x
  3. Step 3: Cross multiply
    669.06x = 923.30 × 406.89
  4. Step 4: Simplify right side
    669.06x = 375,679.50
  5. Step 5: Solve for x
    x = 375,679.50/669.06
  6. Step 6: Final answer
    x = 561.50

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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.