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Finding the Fourth Proportional to 435.92, 597.22 and 418.64

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Solution

The fourth proportional to 435.92, 597.22 and 418.64 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 597.22 = 418.64 : x
  2. Step 2: Convert to fraction form
    435.92/597.22 = 418.64/x
  3. Step 3: Cross multiply
    435.92x = 597.22 × 418.64
  4. Step 4: Simplify right side
    435.92x = 250,020.18
  5. Step 5: Solve for x
    x = 250,020.18/435.92
  6. Step 6: Final answer
    x = 573.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.