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Finding the Fourth Proportional to 669.23, 922.88 and 521.81

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Solution

The fourth proportional to 669.23, 922.88 and 521.81 is: 719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.23 : 922.88 = 521.81 : x
  2. Step 2: Convert to fraction form
    669.23/922.88 = 521.81/x
  3. Step 3: Cross multiply
    669.23x = 922.88 × 521.81
  4. Step 4: Simplify right side
    669.23x = 481,564.70
  5. Step 5: Solve for x
    x = 481,564.70/669.23
  6. Step 6: Final answer
    x = 719.59

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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.