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Finding the Fourth Proportional to 424.96, 633.96 and 388.64

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Solution

The fourth proportional to 424.96, 633.96 and 388.64 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.96 : 633.96 = 388.64 : x
  2. Step 2: Convert to fraction form
    424.96/633.96 = 388.64/x
  3. Step 3: Cross multiply
    424.96x = 633.96 × 388.64
  4. Step 4: Simplify right side
    424.96x = 246,382.21
  5. Step 5: Solve for x
    x = 246,382.21/424.96
  6. Step 6: Final answer
    x = 579.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.