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Finding the Fourth Proportional to 669.62, 923.92 and 457.00

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Solution

The fourth proportional to 669.62, 923.92 and 457.00 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.62 : 923.92 = 457.00 : x
  2. Step 2: Convert to fraction form
    669.62/923.92 = 457.00/x
  3. Step 3: Cross multiply
    669.62x = 923.92 × 457.00
  4. Step 4: Simplify right side
    669.62x = 422,227.99
  5. Step 5: Solve for x
    x = 422,227.99/669.62
  6. Step 6: Final answer
    x = 630.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.