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Finding the Fourth Proportional to 435.42, 600.74 and 393.84

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Solution

The fourth proportional to 435.42, 600.74 and 393.84 is: 543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.42 : 600.74 = 393.84 : x
  2. Step 2: Convert to fraction form
    435.42/600.74 = 393.84/x
  3. Step 3: Cross multiply
    435.42x = 600.74 × 393.84
  4. Step 4: Simplify right side
    435.42x = 236,595.44
  5. Step 5: Solve for x
    x = 236,595.44/435.42
  6. Step 6: Final answer
    x = 543.37

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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.