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Finding the Fourth Proportional to 669.36, 923.20 and 459.68

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Solution

The fourth proportional to 669.36, 923.20 and 459.68 is: 634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 923.20 = 459.68 : x
  2. Step 2: Convert to fraction form
    669.36/923.20 = 459.68/x
  3. Step 3: Cross multiply
    669.36x = 923.20 × 459.68
  4. Step 4: Simplify right side
    669.36x = 424,376.58
  5. Step 5: Solve for x
    x = 424,376.58/669.36
  6. Step 6: Final answer
    x = 634.00

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1.5x scale

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.