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Finding the Fourth Proportional to 465.42, 642.72 and 398.64

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Solution

The fourth proportional to 465.42, 642.72 and 398.64 is: 550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 642.72 = 398.64 : x
  2. Step 2: Convert to fraction form
    465.42/642.72 = 398.64/x
  3. Step 3: Cross multiply
    465.42x = 642.72 × 398.64
  4. Step 4: Simplify right side
    465.42x = 256,213.90
  5. Step 5: Solve for x
    x = 256,213.90/465.42
  6. Step 6: Final answer
    x = 550.50

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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.