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Finding the Fourth Proportional to 669.28, 922.62 and 521.60

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Solution

The fourth proportional to 669.28, 922.62 and 521.60 is: 719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.28 : 922.62 = 521.60 : x
  2. Step 2: Convert to fraction form
    669.28/922.62 = 521.60/x
  3. Step 3: Cross multiply
    669.28x = 922.62 × 521.60
  4. Step 4: Simplify right side
    669.28x = 481,238.59
  5. Step 5: Solve for x
    x = 481,238.59/669.28
  6. Step 6: Final answer
    x = 719.04

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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.